The currents i1 and i2 through the resistors R1(=10 Ω) and R2(=30 Ω) in the circuit diagram with E1=3 V , E2=3 V and E3=2 V are respectively

Question

The currents i1 and i2 through the resistors R1(=10 Ω) and R2(=30 Ω) in the circuit diagram with E1=3 V , E2=3 V and E3=2 V are respectively (A) 0.2 A, 0.1 A (B) 0.4 A, 0.2 A (C) 0.1 A, 0.2 A (D) 0.2 A, 0.4 A

Tardigrade Admin · Accepted Answer

In closed loop EFGDE <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2e033b76f2ef8b5ab5bb8ba5041aafed-.jpeg" />i2 R2=E2 i2 × 30=3 i2=0.1 A In closed loop A B C E A -i1 R1-E1+E2+E3=0 -i1 × 10-3+3+2=0 i1=0.2 A

Q. The currents $i_{1}$ and $i_{2}$ through the resistors $R_{1} (= 10 Ω)$ and $R_{2} (= 30 Ω)$ in the circuit diagram with $E_{1} = 3 V, E_{2} = 3 V$ and $E_{3} = 2 V$ are respectively

0.2 A, 0.1 A

0.4 A, 0.2 A

0.1 A, 0.2 A

0.2 A, 0.4 A

In closed loop $EFG D E$
$i_{2} R_{2} = E_{2}$
$i_{2} \times 30 = 3$
$i_{2} = 0.1 A$
In closed loop $A BCE A$
$- i_{1} R_{1} - E_{1} + E_{2} + E_{3} = 0$
$- i_{1} \times 10 - 3 + 3 + 2 = 0$
$i_{1} = 0.2 A$

Q. The currents i1​ and i2​ through the resistors R1​(=10Ω) and R2​(=30Ω) in the circuit diagram with E1​=3V,E2​=3V and E3​=2V are respectively