menu search
brightness_auto
more_vert

How many 176 Ω resistors (in parallel) are required to carry 5 A on a 220 V line?
 

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike

1 Answer

more_vert
 
verified
Best answer

For x number of resistors of resistance 176 Ω, the equivalent resistance of the resistors connected in parallel is given by Ohm's law asVIR
RV/I
Where,
Supply voltage, V= 220 V
Current, I = 5 A
Equivalent resistance of the combination = R,given as

\(\frac{1}{R}=X\times(\frac{1}{176})\)

\(R=\frac{176}{X}\) 

from Ohm's law, 

\(\frac{V}{I}=\frac{176}{X}\) 

\(X=\frac{176\times I}{V}=\frac{176\times 5}{220}=4\)

 

Therefore, four resistors of 176 Ω are required to draw the given amount of current.

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike

Related questions

thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer
thumb_up_off_alt 0 like thumb_down_off_alt 0 dislike
1 answer

4.3k questions

3.7k answers

55 comments

380 users

...