Mastering Physics: Chapter 19 Google Chrome Secure https:// session masteringphy

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Mastering Physics: Chapter 19 Google Chrome Secure https:// session masteringphysics.com/myct/itemview?assignment Problem 75670237 PHYS212-SPRING 2017 Chapter 19 Problem 19.36 Problem 19.36 Part A Suppose two batteries, with unequal emfs of 2.00 V and If each internal resistance is r 0.500 n, and R 400 S2, what is the voltage across the resistor R? 3.00 V. are connected as shown in (Figure 1) Express your answer to three significant figures and include the appropriate units. VRS Value Units of Submit My Answers Give UD R -4.00 2 E-2.00 V O Ask me anything Help I Close previous l 9 of 22 l next Provide Feedback Continue 7:55 PM 2/21/2017 R90

Explanation / Answer

Current through E1 is I1 ; that through E2 is I2 ; and through R be I3.

I1 + I2 = I3

from Khirchoff's loop rule:

V1 - I1r - I3R = 0

V2 - I2r - I3R = 0

from the above three eqn we get

I3 = (V1 + V2)/(2R + r)

I3 = (2 + 3)/(2 x 4 + 0.5) = 0.588 A

V(R) = I3xR = 0.588x4 = 2.353 Volts

Hence, V(R) = 2.353 Volts (upto three decimal places)

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