zIn the circuit shown in the figure below, R 1 = 5.00 ?, R 2 = 3.00 ?, and R 3 =
ID: 1282863 • Letter: Z
Question
zIn the circuit shown in the figure below, R1 = 5.00 ?, R2 = 3.00 ?, and R3 = 6.00 ?. Note that three currents are given.
(a) Find the current in the (center) 3.00 ? resistor.
A
(b) Find the unknown emf's ?1 and ?2.
V (?1)
V (?2)
(c) Find the resistance R.
?
Explanation / Answer
(A) APLLYING KCL AT LOWER POINT CONTAINIG R2
I(r2) = 3+5 = 8 A
(b) APPLYING KVL AT THE RIGHTMOST LOOP CONTAINIG E2
E2 - 5 * 6 - 8* 3 = 0
E2 = 54 V
APPLYING KVL IN THE LEFTMOST LOOP CONTAING E1
E1 - 8R2 -3 R1 =0
E1- 8*3 - 3*5 =0
E1 =39 V
(c) APPLYING KVL IN THE OUTER CIRUIT CONTAING R , R1 AND R3
-2 R - 3 R1 +5 R3 =0
-2R -3*5 +5*6 =0
R= 7.5 ohm
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