Question

If the voltage across a circuit is quadrupled, then the current
through the circuit would be

Answer 1

Answer:

quadrupled

Explanation:

According to Ohm's Law,

V = IR

or

V, the voltage is proportional to I, the current across the circuit

So if voltage is quadrupled, current too will get quadrupled.

Mathematical Answer:

Let V and I be the initial voltage and current and V' and I' be the new, modified voltage and current, and R be the resistance.

Voltage is quadrupled, that is,

V' is four times the initial voltage V

V' = 4V ...eqn (1)

V = I×R ...eqn (2)

and R is a constant value which the resistance of the wire.

Likewise, V' = I'×R

But as per eqn (1)

V'=4V

So, 4V = I'×R

That is, I' = 4V/R

But eqn (2) says, V/R = I

So I' = 4×I that is, quadrupled.