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Consider the circuit shown in ( Figure 1 ) . The batteries have emfs of E 1 = 9.

ID: 3894979 • Letter: C

Question

Consider the circuit shown in (Figure 1) . The batteries have emfs of E1=9.0V and E2=12.0V and the resistors have values of R1=27?, R2=64?, and R3=38?.

A.)
Determine the magnitudes of the currents in each resistor shown in the figure. Ignore internal resistance of the batteries.


C.) Determine the magnitudes of the currents in each resistor shown in the figure. Assume that each battery has internal resistance

r = 1.0 ?.

D.) Determine the directions of the currents in each resistor. Assume that each battery has internal resistance

r = 1.0 ?


please help!


Explanation / Answer


a) (V-0)/64 + (V-9)/27 +(V-12)/38 =0


V*(0.078977826) = (0.649)


V=8.22V


I1 =(9-8.22)/27 =0.0288A

I2=8.22/64 =0.128A

I3=(12-8.22)/38 =0.0995A


b)

(a)

Direction I1 Right

I2 Left

I3 up


c) r=1ohm


(V-0)/64 + (V-9)/28 +(V-12)/39 =0


V*(0.07698) = 0.629


V=8.17V


I1 =(9-8.17)/28 =0.0296A

I2=8.17/64 =0.1276A

I3=(12-8.17)/39 =0.098A

Direction I1 Right

I2 Left

I3 up