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In the circuit shown below E1=4.0V,  R1=2  Ω,  E2=6.0  V,  R2=4  Ω  and  R3=2  Ω. The current i1 is

a
1.6 A
b
1.8 A
c
1.25 A
d
1.0 A

detailed solution

Correct option is B

Applying Kirchhoff's law for the loops (l) and (2) as shown in figure.For loop (1),−2i1−2i1−i2+4=0 ⇒2i1−i2=2     ...iFor loop (2),−2i1−i2+4i2−6=0 ⇒−i1+3i2=3     ...iiOn solving equations (i) and (ii), i1 = 1.8 A

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