A circuit is constructed with five resistors and a battery as shown. The battery

Question

A circuit is constructed with five resistors and a battery as shown. The battery voltage is V = 12 V. The values for the resistors are: R1-59 , R2 = 106 , R3-164 , and R4-93 . The value for Rx is unknown, but it is known that l4, the current that flows through resistor R4, is zero. 1) What is , the magnitude of the current that flows through the resistor Ri? Submit 2) What is V2, the magnitude of the voltage across the resistor R2? V Submit 3) What is l2, the magnitude of the current that flows through the resistor R2? A Submit 4) What is Rx, the value of the unknown resistor Rx | Submit |

Explanation / Answer

From the bridge is balanced.
First to unravel from the Rx.
(1) I=E/R , I1= 12/(59+164)= 0.0538 A or 53.8 mA.
(2) V2= 12*106/(106+294.64)= 3.175 V.
(3) I2= 12/(106+294.64)= 0.02995 A or 29.95 mA.
(4) R1*Rx=R2*R3.
Rx= R2*R3/R1= 106*164/59= 294.64 .
(5) V1= 12*59/(59+164)= 3.175 V.

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