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11. The current in the 9.00 Volt battery is equal to 12. The potential differenc

ID: 1448504 • Letter: 1

Question

11. The current in the 9.00 Volt battery is equal to

12. The potential difference across the terminals of battery #1 from point a to point b is equal to

13. The potential difference across the terminals of battery #2 from point c to point d is equal to

Please show ALL work! Thank you.

The circuit below contains two real batteries, each having significant internal resistance. Battery #1 has an EMF of 9.00 V and an internal resistance of 1.00 ohm. Battery #2 has an EMF of 3.00 V and an internal resistance of 2.00 ohms. These two batteries are connected in series with two resistors R1 = 5.00 ohms and R2-4.00 ohms. These two batteries are connected in series with two resistors R-5.00 ohms and R,-4.00 ohms. Ri (5.00 2) 9.00 V) (3.00 V) T1 (1 .0012) 1 2 172 (4.00) (2)

Explanation / Answer

11)
let I is the current through the ckt.

Apply KVL in the loop

E1 - I*R1 - E2 - I*r2 - I*R2 - I*r1 = 0

I*(R1 + R2 + r1 + r2) = (E1 - E2)

I = (E1-E2)/(R1 + R2 + r1 + r2)

= (9 - 3)/(5 + 4 + 1 + 2)

= 0.5 A

12) V1_terminal = E1 - I*r1

= 9 - 0.5*1

= 8.5 volts

13) V2_terminal = E2 - I*r2

= 8 - 0.5*2

= 7 volts

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