2.What is I 3 , the current that flows through the resistor R 3 ? A positive val

Question

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 asign, The values for the resistors are:T RI-R5-73 , R2-R6-82 R3 = 102 , and R4 = 132 . The positive directions for the currents 1, 2 and 13 are indicated by the directions3 of the arrows. I R W V. a b Ri 4 1) What is V4, the magnitude of the voltage across the resistor R4? 7.722 V Submit

Explanation / Answer

1) R4 and R5 are in series and voltage across this is V2 hence the voltage across the resistor R4 will be:

V4 = V2*(R4)/(R4+R5) = 12*132/(132+73) = 7.727 V

2) I1 +I3 = I2

-I1R1+V1+I3R3 = 0 => V1+I3R3 = I1R1 => 73 I1 - 102 I3 = 18

Va-I2R6+V2-I2R2-I1R1 = Va => V2 = I1R1+I2*(R2+R6) => 73 I1+164(I1+I3) = 12

237 I1 + 164 I3 = 12

I1 = 0.116 A

I3 = -0.094 A

I2 = 0.022 A

Va-Vb = I2R6 = 0.022*82 = 1.8 V

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