Consider the three circuits shown in the diagram below. All resistors, R are ide
ID: 1872182 • Letter: C
Question
Consider the three circuits shown in the diagram below. All resistors, R are identical. All batteries are supply the same voltage, V are identical and ideal Circuit 1 Circuit 2 Circuit.3 Complete the statement(s) by choosing the correct response: Less than, Greater than or Equal to. The equivalent resistance of Circuit 3 is the equivalent resistance of Circuit 2. Submit Answer Tries 0/2 The current supplied by the battery in Circuit 2 is the current supplied by the battery in Circuit 1. Submit Answer Tries 0/2 The total power dissipated in Circuit 3 isthe t total power dissipated in Circuit 1. Submit Answer Tries 0/2Explanation / Answer
Equivalent resistence of circuit 1,
Req = R + R/3 = 4R/3
Equivalent resistence of circuit 2,
Req = R + R/2 = 3R/2
Equivalent resistence of circuit 3,
Req = R + R = 2R
(1)
Equivalent resistence of circuit 3 is greater than equivalent resistence of circuit 2.
(2)
Current l = V / Req
l1 = 3V / 4R
l2 = 2V / 3R
Current supplied by the battery in circuit2 is less than current supplied by the battery in circuit 1.
(3)
Power P = l^2 * Req
P3 = (V / 2R)^2 * 2R = V^2 / 2R
P1 = (3V / 4R)^2 * (4R / 3)
P1 = 3V^2 / 4R
Total power dissipated in circuit 3 is less than total power in circuit 1.