Given the circuit below. R1 is 75? , R2 is 123? , R3 is 195? , and R4 is 147? .

Question

Given the circuit below. R1 is 75? , R2 is 123? , R3 is 195? , and R4 is 147? . The potential difference of the battery is 31V .

Part A

What is the equivalent resistance of this circuit?

Part B

What is the current through, voltage across, and power dissapated in R1?

Put in the current, followed by a comma, the voltage followed by a comma, and the power.

Part C

What is the current through, voltage across, and power dissapated in R2?

Put in the current, followed by a comma, the voltage followed by a comma, and the power.

Part D

What is the current through, voltage across, and power dissapated in R3?

Put in the current, followed by a comma, the voltage followed by a comma, and the power.

Part E

What is the current through, voltage across, and power dissapated in R4?

Put in the current, followed by a comma, the voltage followed by a comma, and the power.

Explanation / Answer

A.

Here,

R1 series [R2 parallel R3 parallel R4]

Thus,

Req = 124.848 ohms [ANSWER]

******************

B.

As

I = V / Req

Then the total current is

I = 0.2483 A   [ANSWER]

which is also the current along R1.

Thus, the voltage across R1 is

V1 = I1 R1 = 18.62 V   [ANSWER]

and its power dissipation is

P1 = I1^2 R1 = 4.62 W   [ANSWER]

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