What is the internal resistance of an automobile battery that has an emf of 12.0Vand a terminal voltage of 15.0Vwhile a current of 8.00Ais charging it?

Short Answer

Expert verified

The internal resistance is 0.375Ω.

Step by step solution

01

Terminal voltage

The terminal voltage of the cell is

V=emf-lR

Here, emf is the output voltage of the battery, Iis the current and Ris the resistance.

02

Calculation of the internal resistance

Given value of the EMF is E=12.0 V

Current isl=8.00A

Terminal voltage,V=15.0V.

When charging , E=V-lr.

So internal, resistance

role="math" localid="1656141444437" l=V-Er=15.0V-12.0V8.00A=0.375Ω

Therefore, the internal resistance is 0.375Ω.

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