A circuit is constructed with six resistors and two batteries as shown. The batt

Question

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: R1 = R5 = 74 , R2 = R6 = 123 R3 = 63 , and R4 = 93 . The positive directions for the currents I1, I2 and I3 are indicated by the directions of the arrows.

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

_____ V

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.

______ A

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.

______A

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.

______A

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

_______V

Explanation / Answer

current through R4 , R5 = V2/(R3+R4) = 12/(63+93) = 0.77 A

(1)

V4 = 0.77*93 = 71.61 V

(2)

-I1*R1 + V1 + (I2-I1)*R3 = 0

-I1*75 + 18 + (I2-I1)*63 = 0.....(1)

-I2*R2 - (I2-I1)*R3 - V1 - I2*R6 + V2 = 0

-I2*123 -(I2-I1)*63 - 18 - I2*123 + 12 = 0 ......(2)

-

I1 = 0.008 A

I2 =0.134 A

(2)

I3 = I2 - I1 = 0.126 A

(3)

I2 = 0.134

(4)

I1 = 0.008 A

(5)

Vb - Vb = R6*I2 = 123*0.134 = 16.5 V

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.