1.) What is V4, the magnitude of the voltage across the resistor R4? 2.) What is

Question

1.) What is V4, the magnitude of the voltage across the resistor R4?

2.) What is I3, the current that flows through the resistor R3? A positive value for the current is defined to be in the direction of the arrow.

3.) What is I2, the current that flows through the resistor R2? A positive value for the current is defined to be in the direction of the arrow.

4.) What is I1, the current that flows through the resistor R1? A positive value for the current is defined to be in the direction of the arrow.

5.) What is V(a) – V(b), the potential difference between the points a and b?

A circuit is constructed with six resistors and two batteries as shown. The battery voltages are V1 18 V and V2 12 V. The positive terminals are indicated with a + sign, The values for the resistors are:Ww R1-R5-55 , R2-R6-147 R3-84 , and R4-76 . The positive directions for the currents , 2 and l3 are indicated by the directions3 of the arrows. I R2 R5 V. V.

Explanation / Answer

1) V4=(12 V)(76 )/(76+55) = 6.96 V

2)I3=(55)/((55)(84)+(55+84)(147+147)) (12 V-18 V(1+(147+147)/55)) = -0.1236 A

3) I2=18 V/55 + ( -0.1236A)(55+84)/55 =0.0149 A

4)I1=I2-I3

=0.0149 A- ( -0.1236 A)= 0.1385 A

5)Since I2=I6

V(a)-V(b)=(0.0149 A)(147)=2.19 V

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