Question In the circuit shown in (Figure 1) , E = 46.0 V , R1 = 4.00 ?, R2 = 6.0

Question

Question In the circuit shown in (Figure 1) , E = 46.0 V , R1 = 4.00 ?, R2 = 6.00 ? and R3 = 3.00 ? Part A What is the potential difference Vab between points a and b when the switch S is open? Express your answer with the appropriate units. Vab = What is the potential difference Vab between points a and b when the switch S is closed? Express your answer with the appropriate units. Vab = For the 4.00 ? resistor, calculate the current through the resistor with S open. Express your answer with the appropriate units. I = Part D For the 4.00 ? resistor, calculate the current through the resistor with S closed. Express your answer with the appropriate units. I = For the 6.00 ? resistor, calculate the current through the resistor with S open. Express your answer with the appropriate units. I = Part F For the 6.00 ? resistor, calculate the current through the resistor with S closed. Express your answer with the appropriate units. I = Part G For the 3.00 ? resistor, calculate the current through the resistor with S open. Express your answer with the appropriate units. I = Part H For the 3.00 ? resistor, calculate the current through the resistor with S closed. Express your answer with the appropriate units. I = Part I For each resistor, does the current increase or decrease when S is closed?

Explanation / Answer

Here,

E = 46 V

R1 = 4 Ohm

R2 = 6 Ohm

R3 = 3 Ohm

part A)

when the switch is open

for the voltage Vab

Using voltage divider formula

Vab = E * R2/(R2 + R3)

Vab = 46 * 6/(6 + 3)

Vab = 30.7 V

part B)

when the switch is closed

for R1 and R2 in parallel

1/Rp = 1/4 + 1/6

Rp = 2.4 Ohm

Using voltage divider formula

Vab = E * Rp/(Rp+ R3)

Vab = 46 * 2.4/(2.4 + 3)

Vab = 20.44 V

part C)
when the switch is opened

the current in R1 is zero

part D)

when the switch is closed

current in 4 Ohm = Vab/R1

current in 4 Ohm = 20.44/4 A

current in 4 Ohm = 5.11 A

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