65 V Fuses 163

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Part RoHS Manufacturer Circuit Protection Type Mounting Feature Rated AC Voltage Rated DC Voltage Rated Current Terminal Shape Nominal Joule Integral Minimum Operating Temperature Terminal Finish Rated Breaking Capacity Manufacturer Series Trip Time/Delay Additional Features Pre Arcing Rating (A2/s) Packing Method Body Length/Diameter Body Width Fuse Class JESD-609 Code Rated Voltage Resistance Minimum Pre Arcing Time Fuse Size Built-in Features Dimensions Body Height Reference Standard Maximum Operating Temperature Blow Characteristic

39811250000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

1.25 A

Pin Wire

2.34 J

-40 °C (-40 °F)

Tin

50 A

10 s

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

TE5

0.315 in (8 mm)

CUL; UL

125 °C (257 °F)

Medium Time Lag

3910630000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

630 mA

Pin Wire

5 mJ

Matte Tin

50 A

391

Rated Breaking Capacity at 65 VDC: 50 A

e3

UL

Fast

0453015NR

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

65 V

Nano

0.106 in (2.69 mm)

CSA; CUL; UL

125 °C (257 °F)

Very Fast

322030P

Littelfuse

Electric Fuse

Inline/Holder

65 V

65 V

30 A

End Cap

Nickel

200 A

0.25 in (6.35 mm)

0.25 x 1.25 in (6.35 x 31.75 mm)

1.25 in (31.75 mm)

UL

Very Fast

0453012.MRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Silver

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

R451015.MR

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Tin/Lead

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e0

Nano

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

0451012.NR

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Tin/Lead

50 A

4 h

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e0

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CE; CSA; UL

125 °C (257 °F)

Very Fast

045112.0MRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Gold

50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

R451015.NRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Gold with Nickel barrier

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

Nano

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

39114000000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

4 A

Pin Wire

6.5 J

-40 °C (-40 °F)

50 A

2 s

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

CUL; UKCA; UL

125 °C (257 °F)

Fast

0451015.

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Tin/Lead

100 A

Interrupting Current Max(DC): 150 A, Pre Arcing Time: open within 14400 s at 100% rated current

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e0

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CE; CSA; UL

125 °C (257 °F)

Very Fast

0322020.HXP

Littelfuse

Electric Fuse

Inline/Holder

65 V

65 V

20 A

End Cap

192 J

-55 °C (-67 °F)

Nickel

200 A

1 s

Rated Breaking Capacity at 65 VDC: 1000 A

192

Bulk

0.25 in (6.35 mm)

65 V

3AB

0.25 x 1.25 in (6.35 x 31.75 mm)

1.25 in (31.75 mm)

CE; UL

125 °C (257 °F)

Very Fast

39812000000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2 A

Pin Wire

8.4 J

-40 °C (-40 °F)

Tin

50 A

10 s

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

TE5

0.315 in (8 mm)

CUL; UL

125 °C (257 °F)

Medium Time Lag

0453012.NRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Silver

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

322030

Littelfuse

Electric Fuse

Inline/Holder

65 V

65 V

30 A

End Cap

-55 °C (-67 °F)

1 kA

4 h

540

0.25 in (6.35 mm)

Supplemental

65 V

2.3 mΩ

3AB

0.25 x 1.25 in (6.35 x 31.75 mm)

1.25 in (31.75 mm)

CSA; UL

125 °C (257 °F)

Very Fast

4192120000

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

End Cap

52 J

-65 °C (-85 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.109 in (2.77 mm)

e4

30 s

0.24 x 0.109 x 0.109 in (6.1 x 2.77 x 2.77 mm)

0.109 in (2.77 mm)

CSA; UL

125 °C (257 °F)

Very Fast

4192120001

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

End Cap

52 J

-65 °C (-85 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.109 in (2.77 mm)

e4

30 s

0.24 x 0.109 x 0.109 in (6.1 x 2.77 x 2.77 mm)

0.109 in (2.77 mm)

CSA; UL

125 °C (257 °F)

Very Fast

0453015.

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Silver

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

65 V

Nano

0.106 in (2.69 mm)

CSA; PSE; UL

125 °C (257 °F)

Fast

3981125000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

1.25 A

Pin Wire

2.3 J

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

0453015.MRSN

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Silver

100 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

20 s

Nano

0.106 in (2.69 mm)

CSA; CUL; UL

125 °C (257 °F)

Very Fast

4192150001

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

End Cap

103 J

-65 °C (-85 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.109 in (2.77 mm)

e4

30 s

0.24 x 0.109 x 0.109 in (6.1 x 2.77 x 2.77 mm)

0.109 in (2.77 mm)

CSA; UL

125 °C (257 °F)

Very Fast

3981160000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

1.6 A

Pin Wire

4.5 J

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

048302.5DR

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

2.5 A

Wraparound

2.5 J

-55 °C (-67 °F)

Copper/Nickel/Tin

50 A

5 s

Pre Arcing Time: Open within 5 s at 250% Rated Current

Tape And Reel

0.13 in (3.302 mm)

0.062 in (1.575 mm)

e2

65 V

1206

0.062 in (1.5748 mm)

UL

125 °C (257 °F)

045312.0NRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

39812500000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2.5 A

Pin Wire

14.81 J

-40 °C (-40 °F)

Tin

50 A

10 s

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

TE5

0.315 in (8 mm)

CUL; UL

125 °C (257 °F)

Medium Time Lag

0322030.HXP

Littelfuse

Electric Fuse

Inline/Holder

65 V

65 V

30 A

End Cap

540 J

-55 °C (-67 °F)

Nickel

200 A

1 s

Rated Breaking Capacity at 65 VDC: 1000 A

540

Bulk

0.25 in (6.35 mm)

65 V

3AB

0.25 x 1.25 in (6.35 x 31.75 mm)

1.25 in (31.75 mm)

CE; UL

125 °C (257 °F)

Very Fast

045312.0MRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

Silver

50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

0451012.NRSN

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

100 A

20 s

Rated Breaking Capacity at 65 VDC: 150 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CE; CSA; CUL; TUV; UL

125 °C (257 °F)

Very Fast

3981250000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2.5 A

Pin Wire

13 J

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

3980125000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

125 mA

Pin Wire

9.3 mJ

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

0448012.

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

End Cap

47.59 J

-55 °C (-67 °F)

Gold

50 A

Rated Breaking Capacity at 65 VDC: 50 A

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; PSE; UL

125 °C (257 °F)

Very Fast

3991315000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

3.15 A

Pin Wire

40 J

-40 °C (-40 °F)

Matte Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

40

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Time Lag

39808000000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

800 mA

Pin Wire

1.02 J

-40 °C (-40 °F)

Tin

50 A

10 s

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

TE5

0.315 in (8 mm)

CUL; UL

125 °C (257 °F)

Medium Time Lag

0451015.MRSN

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

100 A

20 s

Rated Breaking Capacity at 65 VDC: 150 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; CUL; UL

125 °C (257 °F)

Very Fast

39112500000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2.5 A

Pin Wire

2.219 J

-40 °C (-40 °F)

50 A

2 s

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

CUL; UKCA; UL

125 °C (257 °F)

Fast

39101600000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

160 mA

Pin Wire

11 mJ

-40 °C (-40 °F)

50 A

2 s

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

CUL; UKCA; UL

125 °C (257 °F)

Fast

0448012.NR

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

End Cap

47.59 J

-55 °C (-67 °F)

Gold

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; PSE; UL

125 °C (257 °F)

Very Fast

3981315000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

3.15 A

Pin Wire

23 J

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

0453015.MRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Silver

50 A

20 s

Pre Arcing Time: Open within 20 s at 200% Rated Current

97.82

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

3990400000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

400 mA

Pin Wire

920 mJ

-40 °C (-40 °F)

Matte Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

0.92

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Time Lag

3991200000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2 A

Pin Wire

14 J

-40 °C (-40 °F)

Matte Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

14

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Time Lag

322025

Littelfuse

Electric Fuse

Inline/Holder

65 V

65 V

25 A

End Cap

325 J

-55 °C (-67 °F)

200 A

1 s

Rated Breaking Capacity at 65 VDC: 1000 A, Pre Arcing Time: Open within 1 s at 250% Rated Current

325

0.25 in (6.35 mm)

65 V

3AB

0.25 x 1.25 in (6.35 x 31.75 mm)

1.25 in (31.75 mm)

CSA; UL

125 °C (257 °F)

Very Fast

39804000000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

400 mA

Pin Wire

180 mJ

-40 °C (-40 °F)

Tin

50 A

10 s

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

TE5

0.315 in (8 mm)

CUL; UL

125 °C (257 °F)

Medium Time Lag

39112000000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2 A

Pin Wire

1.06 J

-40 °C (-40 °F)

Matte Tin

50 A

2 s

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

CUL; UKCA; UL

125 °C (257 °F)

Fast

3981200000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

2 A

Pin Wire

7.8 J

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

0451012.MRSN

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

12 A

Wraparound

47.97 J

-55 °C (-67 °F)

100 A

20 s

Rated Breaking Capacity at 65 VDC: 150 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

65 V

Nano

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CE; CSA; CUL; TUV; UL

125 °C (257 °F)

Very Fast

045115.0MRL

Littelfuse

Electric Fuse

Surface Mount

65 V

65 V

15 A

Wraparound

97.82 J

-55 °C (-67 °F)

Gold

50 A

Tape And Reel

0.24 in (6.1 mm)

0.106 in (2.69 mm)

e4

0.24 x 0.106 x 0.106 in (6.1 x 2.69 x 2.69 mm)

0.106 in (2.69 mm)

CSA; UL

125 °C (257 °F)

Very Fast

3980315000

Littelfuse

Electric Fuse

Through Hole Mount

65 V

65 V

315 mA

Pin Wire

81 mJ

-40 °C (-40 °F)

Tin

50 A

Rated Breaking Capacity at 65 VDC: 50 A

Ammo Pack; Tape And Reel

0.335 in (8.5 mm)

0.157 in (4 mm)

e3

65 V

TE5

0.335 x 0.157 x 0.315 in (8.5 x 4 x 8 mm)

0.315 in (8 mm)

UL

85 °C (185 °F)

Medium Time Lag

Fuses

A fuse is an electrical safety device that is designed to protect an electrical circuit from damage caused by overcurrent. Fuses are commonly used in residential, commercial, and industrial electrical systems, and they are an important safety device that helps prevent electrical fires, equipment damage, and personal injury.

A fuse typically consists of a metal wire or filament that is enclosed in a fuse body, which is designed to protect the wire from damage. The fuse is connected in series with the electrical circuit, and when the current flowing through the circuit exceeds a preset level, the wire in the fuse will melt or blow, which opens the circuit and prevents further damage to the electrical system.

Fuses are available in a variety of types and sizes, and they can be classified based on their current rating, voltage rating, and speed of operation. Some common types of fuses include cartridge fuses, blade fuses, and plug fuses.

In addition to protecting electrical systems from overcurrent, fuses can also be used to protect electrical equipment and machinery from damage caused by short circuits or other types of electrical faults. They are a cost-effective and reliable method of electrical protection, and they are widely used in a variety of electrical applications.