Ohm\\\'s Law relates the current, voltage, and resistance in a circuit. Use Ohm\

Question

Ohm's Law relates the current, voltage, and resistance in a circuit. Use Ohm's Law to determine what will happen to the remaining variable if one is held constant and another is changed. Assume that, originally, the resistance is R0, the current is I0, and the voltage is V0. If the original voltage is held constant but the current is four times as much, how does the new resistance compare to the original resistance?

new resistance is R0 / 16

new resistance is 4 x R0

new resistance is 16 x R0

new resistance is R0/4

If the original current is held constant but the resistance is twice as much, how does the new voltage compare to the original voltage?

4 x V0

V0/2

2 x V0

V0/4

If the original resistance is held constant but the voltage is four times as much, how does the new current compare to the original current?

l0/16

l0X16

l0x4

l0/4

Explanation / Answer

according to ohm's law

V = IR

if V is costant and I1 = 4*I0

then I1R1 = I0R0

R1 = R0*I0/4I0

R1 = R0/4

if I is constant and R1 = 2*R0'

V1/R1 = V0/R0

V1 = V0*2*R0/R0

V1 = 2*V0

if R is constant and V1 = 4*V0

V1/I1 = V0/I0

I1 = 4*V0*I0/V0

I1 = 4*I0

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