Question

When the resistance of a circuit is doubled, and no other changes occur, what effect does this have on this current in the circuit?

Answer 1

As a result of doubled resistance, current will be halved.

As we know, Ohm's law inversely relates current and resistance to each other. The equation is as follows -

V = I*R, where V is voltage, I is current and R is resistance.

As the question mentions no change in any other parameter, let's assume I₁ and I₂ be initial and final current and R₁ and R₂ initial and final resistance.

So, R₂ will be 2R₁ as it is doubled.

Now, equating the values and finding out the value of final current.

I₁R₁ =  I₂R₂

Keep the value of R₂

I₁R₁ =  I₂2R₁

Cancelling R₁ as it is common on both sides of equation.

So, we get - I₁ =  2I₂

I₂ = I₁/2

Thus, as can be seen above, final current will be half of initial current.

Learn more about Ohm's law and relation between current, voltage and resistance -

brainly.com/question/796939

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