Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Assume that you have to investigate two multiple component circuits. The figures

ID: 1320757 • Letter: A

Question

Assume that you have to investigate two multiple component circuits. The figures below show a multiple capacitance (left) and a multiple resistance circuit (right).

What is the equivalent capacitance of the combination shown in the figure on the left? DATA: C1= 8.5 uF, C2= 2.5 uF, C3= 7.0 uF, V = +65 V.

What is the potential difference across capacitor C3 in the left figure?

What current flows through resistor R1 in the right figure when the applied voltage is 50 V?
DATA: R = 170 ohm.

What is the equivalent resistance between points a and b of the circuit in the right figure if the resistor R1 is removed?

Assume that you have to investigate two multiple component circuits. The figures below show a multiple capacitance (left) and a multiple resistance circuit (right). What is the equivalent capacitance of the combination shown in the figure on the left? DATA: C1= 8.5 uF, C2= 2.5 uF, C3= 7.0 uF, V = +65 V. What is the potential difference across capacitor C3in the left figure? What current flows through resistor R1 in the right figure when the applied voltage is 50 V? DATA: R = 170 ohm. What is the equivalent resistance between points a and b of the circuit in the right figure if the resistor R1 is removed?

Explanation / Answer

1)
Cnet = (C1+C2)*C3/(C1+C2+C3)

= (8.5+2.5)*7/(8.5+2.5+7)

= 4.28 micro F

charge on C3, Q3 = Cnet*V

= 4.28*65

= 278 micro C

so, V3 = Q3/C3

= 278/7

= 39.7 volts

2) current through R1 = 0 (potentail difference across R1 is zero. so, no current flows through R1)

when R1 is removed, Rnet = R = 170 ohms