Question

If the voltage impressed across a circuit is held constant while the resistance doubles, what change occurs in the current?

Answer 1

The current halves

Step-by-step explanation:

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

`V=RI`

where

V is the voltage

R is the resistance

I is the current

We can rewrite the formula as

`I=(V)/(R)`

we see that I is directly proportional to V and inversely proportional to R. In this problem, V is held constant while R is doubled:

`R'=2R`

so, the new current in the circuit will be

`I'=(V)/(R')=(V)/(2R)=(1)/(2)I`

So, the current halves.