In the circuit shown in the figure below, R1 = 4.00 , R2 = 3.00 , and R3 = 6.00

Question

In the circuit shown in the figure below, R1 = 4.00 , R2 = 3.00 , and R3 = 6.00 . Note that three currents are given.

In the circuit shown in the figure below, R1 = 4.00 ?, R2 = 3.00 ?, and R3 = 6.00 ?. Note that three currents are given.

In the circuit shown in the figure below, R1 = 4.00 ohm, R2 = 3.00 ohm, and R3 = 6.00 ohm. Note that three currents are given. In the circuit shown in the figure below, R1 = 4.00 ?, R2 = 3.00 ?, and R3 = 6.00 ?. Note that three currents are given. (a) Find the current in the (center) 3.00 ? resistor. (b) Find the unknown emf's ?1 and ?2. V (?1) V (?2) (c) Find the resistance R. ?

Explanation / Answer

R1 = 4.00 ohms, R2 = 3.00 ohms, R3 = 6.00 ohms

a) current in the 3.00 ohm resistor

= 3.00 + 5.00 = 8.00 A

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b) E1 = 3.00 R1 + 8.00 R2 = 3.00(4) + 8.00 (3)

= 36.0 V

E2 = 5.00R3 + 8.00R2 = 5.00(6) + 8.00(3)

= 54.0 V

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c) 54 - 2R - 36 = 0

R = 9 ohms

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