F the voltage V in an electric circuit is held constant, the current I is inversely proportional to the resistance R. If the cu

Question

4 years ago

9

rrent is 60
amperes when the resistance is 255

ohms, find the current when the resistance is 150

ohms.

1 answer:

joja [24] · Answer 1 · 2022-01-02T12:53:03+03:00

The current in the 2nd case is 102 A

Step-by-step explanation:

The relationship between voltage, current and resistance in an electric circuit is given by Ohm's law:

$V=IR$

where

V is the voltage

I is the current

R is the resistance

In this problem we are given two sets of data for the current and the resistance, while the voltage is kept constant. This means that we can write:

$V_1=V_2\\I_1 R_1 = I_2 R_2$

where

$I_1 = 60 A$ is the current in the 1st case

$R_1 = 255 \Omega$ is the resistance in the 1st case

$R_2 = 150 \Omega$ is the resistance in the 2nd case

Solving for $I_2$ , we find the current in the 2nd case:

$I_2 = \frac{I_1 R_1}{R_2}=\frac{(60)(255)}{150}=102 A$

Learn more about current and voltage:

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F the voltage V in an electric circuit is held​ constant, the current I is inversely proportional to the resistance R. If the cu