MasteringPhysics: HW19 Google Chrome Secure https: session masteringphysics.com/

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MasteringPhysics: HW19 Google Chrome Secure https: session masteringphysics.com/myct/itemView?assignment Problem 723783238 offset next 04 PHY 1409 Section 04 Spring 2017 Signed in as Magda He Hel Resources Problem 19.82 previous l 15 of 17 I next Problem 19.82 Part A For the circuit shown in Figure 1), determine the cument through the battery Vi (positive if the current is downward and negative if the current is 17 V, 13 V, 24 V, RT 12 kn. R 13 km R3 313 km, Rs 319 k2. upward. Vi Express your answer to two significant figures and include the appropriate units. h 7.2 10 A Figure Submit My Answers Give Up incorrect, Try Again, 5 attempts remaining Part B Determine the potential difference between points a and b. Va Vi Express your answer to two significant figures and include the appropriate units. Value Units Va -Vi All My wers Give Up 603 PM Ask me anything 2/6/2017

Explanation / Answer

let the junction of V1 and V3 be taken as ground .

then potential at a=V1=17 volts

potential at junction of V3,R4 and V2=24 volts

potential at b=24+V2=24+13=37 volts

let potential at junction of R1,R2,R3 and R4 be V

writing KCL at this junction:

(V-Va)/R1 + (V-Vb)/R2 + (V-V3)/R4 + (V-0)/R3=0

==>(V-17)/12 + (V-37)/13 + (V-24)/19 + (V/13)=0

==>V*((1/12)+(1/13)+(1/19)+(1/13))=(17/12)+(37/13)+(24/19)

==>V=19.0675 volts

then current through V1=currentthrough R1=(V-Va)/R1

=0.1723 A

i.e. current is in downward direction.

part B:

Va-Vb=17-37=-20 volts

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