The current in the wires of a circuit is 90 milliAmps. If the resistance of the circuit were doubled (with no change in voltage), then its new current would be _____ milliAmps.

Answers

Answer 1

Answer:

[tex]I = 45mA[/tex]

Explanation:

Given

[tex]I = 90mA[/tex] --- Current

Required

Determine the new current when resistance is doubled

Using [tex]V = IR[/tex]

Initially, we have:

[tex]V = 90mA * R[/tex]

When resistance is doubled and voltage remains unaltered, we have:

[tex]V = I* 2R[/tex]

2R represents the new resistance and I represents the new current

Equate both values of V

[tex]90mA * R = I* 2R[/tex]

Make I the subject

[tex]I = \frac{90mA * R}{2R}[/tex]

[tex]I = \frac{90mA }{2}[/tex]

[tex]I = 45mA[/tex]

The new current is 45milliAmps


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