A battery of internal resistance feeds the following external circuit

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

9\,\text{V}

battery of internal resistance

1\,\Omega

feeds the following external circuit. • From the positive terminal the conductor reaches node

X

. • Branch 1:

X

to node

Y

through a

5\,\Omega

resistor, and then from

Y

back to the negative terminal through a

4\,\Omega

resistor. • Branch 2:

X

to the same node

Y

through a

6\,\Omega

resistor. (i) Taking the current supplied by the battery as

I

, write the necessary algebraic equations that relate

I

and the branch currents. (ii) Determine the value of

I

. (iii) Find the terminal voltage of the battery. (iv) Calculate the current in the

6\,\Omega

resistor.