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Given the circuit below. R1 is 69Ohms , R2 is 123Ohms , R3 is 248Ohms , R4 is 13

ID: 1391533 • Letter: G

Question

Given the circuit below. R1 is 69Ohms , R2 is 123Ohms , R3 is 248Ohms , R4 is 138Ohms , R5 is 250Ohms . The potential difference between points a and b is 52V .

Part A

What is the equivalent resistance of this circuit?

Part B

What is current and voltage across R1?

Give current, followed by a comma, and then voltage.

Part C

What is current and voltage across R2?

Give current, followed by a comma, and then voltage.

Part D

What is current and voltage across R3?

Give current, followed by a comma, and then voltage.

Part E

What is current and voltage across R4?

Give current, followed by a comma, and then voltage.

Part F

What is current and voltage across R5?

Give current, followed by a comma, and then voltage.

Explanation / Answer

a) R1 R2 R3 in series we get their equivalent = 440 ohm

now 138 and 440 in parallel we get their equivalent= 105 ohm

now 105 and 250 in series we get equivalent of all = 355 ohm

B) pot difference across r1 r2 and r3 = 105/250 * 52

= 21.84 V

so voltage across R1 = 69 / 440 * 21.84 = 3.425 V

so current = 49.6 mA

C)

so voltage across R2 = 123/ 440 * 21.84 = 6.11 V

so current = 49.6 mA

D)

so voltage across R3 = 248/ 440 * 21.84 = 12.3 V

so current = 49.6 mA

similarly find across r5 and r6

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