5. (5 pts. total) Three resistors are connected in a cireuit with a battery as s

Question

5. (5 pts. total) Three resistors are connected in a cireuit with a battery as shown in the diagram below. The battery has an EMF of AV 12.0 V, and the resistors have the resistances shown. (You may ignore the internal resistance of the battery.) 1 6 2 (i) (e pts.) What is the equivalent resistance of this collection of resistors? (a) 1/12 (b) 1/9A (c) 1/6 (d) 1/2 (e) 1/3 (f)10 (g) 2 (h) 3 (i) 6 (j) 20/3 (k) 15/2 (1) 9 (m)12 (i) (1 pt.) How much electrical power is the 6 resistor using? (a) 1/6W (b) 1/3W (c) 1W (d) 3W (e)6W (f) 12W (8) 24 W (h) 36W (i) 48 W G) 54W (k) 64 W (1) 216 Vw (iii.) (1 pt.) Complete the sentence: the current through the 2 resistor is (a) the same as (b) more than (c) less than (d) zero compared with (e) the current through the 6 resistor. infinitely more than (iv.) (1 pt.) Complete the sentence: the voltage drop across the 1 resistor is the voltage drop across the 2 resistor. (a) the same as (b) 6 times (c) 1/6 (d) 2 times (e) 1/2 () 3 times (8) 1/3 (h) infinitely more than (i) zero compared with

Explanation / Answer

1 equivalent resistance=(3*6)/(3+6)=2 ohm

2.current in 6 ohm=12/6=2 A

Power=2*12=24 ohm

3.current through 2 ohm is more than current through 6 ohm

4.Voltage drop across 1 ohm is 1/2 times voltage drop across 2 ohm

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