6. The above figure shows a double loop circuit containing 2 voltage sources (em

Question

6. The above figure shows a double loop circuit containing 2 voltage sources (emfs) and 3 resistors.

(a)    Using Kirchhoff%u2019s junction rule, write an equation that relates I1, I2 and I3.

(b) Using Kirchhoff%u2019s loop rule, write an equation in its simplest form that relates the potential differences around the loop abcda.

(c) Using Kirchhoff%u2019s loop rule, write an equation in its simplest form that relates the potential differences around the loop befcb.

The potential difference between b and c was measured as 2 V with b at the higher potential.

Calculate

(d) the potential difference across the 6 W resistor.

(e) I1

(f) I3

(g) I2

(h) the power delivered to the 2 W resistor.

Explanation / Answer

a)at c,

I1 + I2 = I3

b)-10 + 6I1 + 2I3=0

c)-10 + 6I1 -14 - 4I2=0

d)around b and c,

-10+6I1 = 2

I1=2A potential diff across 2 is = 6*2=12V

e)I1=2A

f)eqns:

solving eqn of a) b) and c)

we get

22I1=44

I1=2

2I2 +16 +10

I2=-3A

I3=I1 + I2

I3=-1A

g)I2=-3A

h)power=(I3)^2 * 2= 2Watts

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