In the circuit shown in (Figure 1) , E = 36.0 V , R 1 = 4.00 ?, R 2 = 6.00 ? and

Question

In the circuit shown in (Figure 1) , E = 36.0 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.

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Part B

What is the potential difference Vab between points a and b when the switch S is closed?

Express your answer with the appropriate units.

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Part C

For the 4.00 ? resistor, calculate the current through the resistor with S open.

Express your answer with the appropriate units.

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Part D

For the 4.00 ? resistor, calculate the current through the resistor with S closed.

Express your answer with the appropriate units.

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Part E

For the 6.00 ? resistor, calculate the current through the resistor with S open.

Express your answer with the appropriate units.

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Part F

For the 6.00 ? resistor, calculate the current through the resistor with S closed.

Express your answer with the appropriate units.

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Part G

For the 3.00 ? resistor, calculate the current through the resistor with S open.

Express your answer with the appropriate units.

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Part H

For the 3.00 ? resistor, calculate the current through the resistor with S closed.

Express your answer with the appropriate units.

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Part I

For each resistor, does the current increase or decrease when S is closed?

Drag the appropriate items to their respective bins.

R1 R2 R3

what is increases or decreases

Explanation / Answer

a) when switch is open,

Rnet = R2 + R3 = 6 + 3 = 9 ohms

current through the battery, I = V/Rnet

= 36/9

= 4 A

so, Vab = I*R2

= 4*6

= 24 volts

b) when switch is open,

Rnet = R1*R2/(R1+R2) + R3 =

= 4*6/(4+6) + 3

= 5.4 ohms

current through the battery, I = V/Rnet

= 36/5.4

= 6.67 A

so, Vab = I*R1*R2/(R1+R2)

= 6.67*(4*6)/(4+6)

= 16 volts

c) when sitch is open, current through 4 ohm = 0

d) When s is colsed, current through 4 ohm = Vab/4

= 16/4

= 4 A

e) I(6) = 4 A

f) I(6) = Vab/6

= 16/6

= 2.67 A

G) I(3) = 4 A

H) I(3) = 6.67 A

I) increases for R1 and R3

decreases for R2

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