Consider a circuit shown in the figure. Ignore the internal resistances of the batteries. ℰ1 = 24 V ℰ2 = 22 V R1 = 4 Ω R2 = 3 Ω R3 = 4 Ω. A) Express the current I1 going through resistor R1 in terms of the currents I2 and I3 going through resistors R2 and R3. Use the direction of the currents as specified in the figure. B) Write the equation of potential change in loop EBAF in terms of the circuit elements. C) Write the equation of potential change in loop DCAF in terms of the circuit elements. D) Solve the three equations to get I3 in terms of the variables (ℰ1 ,ℰ2 ,R1 ,R2 ,R3 )

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Consider a circuit shown in the figure. Ignore the internal resistances of the batteries.

1 = 24 V
2 = 22 V
R1 = 4 Ω
R2 = 3 Ω
R3 = 4 Ω.

A)  Express the current I1 going through resistor R1 in terms of the currents I2 and I3 going through resistors R2 and R3. Use the direction of the currents as specified in the figure. 

B) Write the equation of potential change in loop EBAF in terms of the circuit elements. 

C) Write the equation of potential change in loop DCAF in terms of the circuit elements. 

D) Solve the three equations to get I3 in terms of the variables (ℰ1 ,ℰ2 ,R1 ,R2 ,R3 )

R3
A
F
R1
В
E
R2
E2.
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Transcribed Image Text:R3 A F R1 В E R2 E2. ©theexpertta.com
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