Determine the current in 2 $Ω$ resistor

Question

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Answer 1

A fully charged capacitor no current draws from cell. So, no current flow in the capacitor branch and corresponding circuit is shown in figure.
Total resistance of the circuit is $R_{t} = 2.8 + 2 ∣ ∣ 3 = 2.8 + \frac{2 \times 3}{2 + 3} = 2.8 + 1.2 = 4 Ω$
Current in the circuit is $I = \frac{6}{4} = 1.5 A$
If $I_{1}$ and $I_{2}$ are the current through $2 Ω$ and $3 Ω$ respectively, then $I = I_{1} + I_{2} . . . (1)$
As $2 Ω$ and $3 Ω$ are in parallel so $V_{2 Ω} = V_{3 Ω}$ or $2 I_{1} = 3 I_{2} \Rightarrow I_{2} = (2 / 3) I_{1}$
now, (1) becomes, $1.5 = I_{1} + (2 / 3) I_{1} = \frac{5 I _{1}}{3}$
or $I_{1} = \frac{1 . 5 \times 3}{5} = 0.9 A$

Answer 2

A fully charged capacitor no current draws from cell. So, no current flow in the capacitor branch and corresponding circuit is shown in figure.
Total resistance of the circuit is

R_{t} = 2.8 + 2 ∣ ∣ 3 = 2.8 + \frac{2 \times 3}{2 + 3} = 2.8 + 1.2 = 4 Ω

Current in the circuit is

I = \frac{6}{4} = 1.5 A

If

I_{1}

and

I_{2}

are the current through

2 Ω

and

3 Ω

respectively, then

I = I_{1} + I_{2} . . . (1)

As

2 Ω

and

3 Ω

are in parallel so

V_{2 Ω} = V_{3 Ω}

or

2 I_{1} = 3 I_{2} \Rightarrow I_{2} = (2 / 3) I_{1}

now, (1) becomes,

1.5 = I_{1} + (2 / 3) I_{1} = \frac{5 I _{1}}{3}

or

I_{1} = \frac{1 . 5 \times 3}{5} = 0.9 A

Determine the current in 2 $Ω$ resistor

1 A

1.5 A

0.9 A

0.6 A

The value of current through $2 Ω$ resistor is

The current through the $8 Ω$ resistor (shown in figure) is :

In the circuit shown, the current in the $1 Ω$ resistor is

In a circuit shown, the current in the $1 Ω$ resistor is

Current through $10 Ω$ resistor shown in figure is

Revise with Concepts

Combination of Cells in Series and Parallel

Combination of Cells - Problem L1

Determine the current in 2 Ω resistor

1 A

1.5 A

0.9 A

0.6 A

The value of current through 2Ω resistor is

The current through the 8Ω resistor (shown in figure) is :

In the circuit shown, the current in the 1 Ω resistor is

In a circuit shown, the current in the 1Ω resistor is

Current through 10Ω resistor shown in figure is

Revise with Concepts

Combination of Cells in Series and Parallel

Combination of Cells - Problem L1

Determine the current in 2 $Ω$ resistor

The value of current through $2 Ω$ resistor is

The current through the $8 Ω$ resistor (shown in figure) is :

In the circuit shown, the current in the $1 Ω$ resistor is

In a circuit shown, the current in the $1 Ω$ resistor is

Current through $10 Ω$ resistor shown in figure is