A battery provides a voltage V and has unknown internal resistance R int . When

Question

A battery provides a voltage V and has unknown internal resistance Rint. When the battery is connected across a resistor of resistance R1, the current in the circuit is I1

If the external resistance is then changed to R2, what will be the value I2 of the new current in the circuit?

Express your answer in terms of V, R1, R2, and I1

A battery provides a voltage V and has unknown internal resistance Rint. When the battery is connected across a resistor of resistance R1, the current in the circuit is I1 If the external resistance is then changed to R2, what will be the value I2 of the new current in the circuit? Express your answer in terms of V, R1, R2, and I1

Explanation / Answer

I1 = V/(Rint+R1)

when there is R2

I2 = V/((Rint+R2)

but Rint = (V/I1)-R1

substituting

I2 = V/((V/I1)-R1+R2)

= VI1/ (V-R1I1+R2I1)

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