A battery provides a voltage V and has unknown internal resistance R i n t . Whe

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 (i.e., by replacing the resistor), 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 (i.e., by replacing the resistor), 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

when R1 is connected

I1 =V/(R1+Rint)

R1+Rint =V/I1

Rint =V/I1 -R1 ----1

when R1 is disconnected and R2 is connected

I2 =V/(R2+Rint)

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

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

I2 =[VI1/(V+(R2-R1)I1)]

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