Consider the following figure. (a) Find the equivalent resistance between points

Question

Consider the following figure.

(a) Find the equivalent resistance between points a and b in the figure. (R = 15.0 ?)
?

(b) Calculate the current in each resistor if a potential difference of 52.0 V is applied between points a and b.

I (4.00 ?) = A I (7.00 ?) = A I (15.0 ?) = A I (9.00 ?) = A Consider the following figure. (a) Find the equivalent resistance between points a and b in the figure. (R = 15.0 ?) ? (b) Calculate the current in each resistor if a potential difference of 52.0 V is applied between points a and b. I (4.00 ?) = A I (7.00 ?) = A I (15.0 ?) = A I (9.00 ?) = A

Explanation / Answer

The equivalent resistance is

R_eq = ( 4.00 ohm ) + ( 9.00 ohm ) + [ ( 7 ohm)(15)/ 7 + 15 ]

= 17.77 ohm

b)

when the resistors are in series combinaton current through each resistor is same.

I _4 = I_9 = I ' = V / R_eq = 52.0 V / 17.77 ohm = 2.92 A

Voltage across R and 7 ohm resistors is

V = (2.92) ( 7*15/ 7 + 15 ) = 13.96 V

Current through 7 ohm resistor is

I = V / 7 = 13.96/ 7 = 1.99 A

Current throug h R is

I_R = 13.96 / 15 ohm = 0.93 A

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