Determine the equivalent resistance of resistors R_1. R_2, and in (Figure 1) for

Question

Determine the equivalent resistance of resistors R_1. R_2, and in (Figure 1) for R_3 =48 Ohm, R_2 = 30.0 Ohm. and R_3 = 15 Ohm. Express your answer to two significant figures and include the appropriate units. Determine the current through = 170 V . Express your answer to two significant figures and include tho appropriate units. Use Kirchhoffs loop rule and your result from part B to determine the current through R_2. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A)
Req = (R2||R3)+R1
= (30||15)+48
= (30*15/(30+15)) + 48
= 10 + 48
= 58 ohm
Answer: 58 ohm

B)
I1 = E/Req
= 170/58
= 2.9 A
Answer: 2.9 A

C)
Let the total current of 2.9 A divide as I A in R2 and (2.9-I) A in R3

use Kirchoff's loop rule:
I*R2 - (2.9-I)*R3 = 0
I*30 = (2.9-I)*15
30*I = 43.5 - 15*I
I = 0.97 A
Answer: 0.97 A

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