The plot represents the flow of current through a wire at three different times. The ratio of charges flowing through the wire at different times is

Question

The plot represents the flow of current through a wire at three different times. The ratio of charges flowing through the wire at different times is (A) 2: 1: 2 (B) 1: 3: 3 (C) 1: 1: 1 (D) 2: 3: 4

Tardigrade Admin · Accepted Answer

Charge for a given time = area under the curve of current-time graph for the given time. ∴ q1=2 × 1=2 C , q2=1 × 2=2 C q3=(1/2) × 2 × 2=2 C ∴ q1: q2: q3=2: 2: 2=1: 1: 1

Q. The plot represents the flow of current through a wire at three different times. The ratio of charges flowing through the wire at different times is

2: 1: 2

1: 3: 3

1: 1: 1

2: 3: 4

Charge for a given time
= area under the curve of current-time graph for the given time.
$∴ q_{1} = 2 \times 1 = 2 C, q_{2} = 1 \times 2 = 2 C$
$q_{3} = \frac{1}{2} \times 2 \times 2 = 2 C$
$∴ q_{1} : q_{2} : q_{3} = 2 : 2 : 2 = 1 : 1 : 1$

Q. The plot represents the flow of current through a wire at three different times. The ratio of charges flowing through the wire at different times is

2: 1: 2

1: 3: 3

1: 1: 1

2: 3: 4

Charge for a given time = area under the curve of current-time graph for the given time. ∴q1​=2×1=2C,q2​=1×2=2C q3​=21​×2×2=2C ∴q1​:q2​:q3​=2:2:2=1:1:1

Charge for a given time
= area under the curve of current-time graph for the given time.
$∴ q_{1} = 2 \times 1 = 2 C, q_{2} = 1 \times 2 = 2 C$
$q_{3} = \frac{1}{2} \times 2 \times 2 = 2 C$
$∴ q_{1} : q_{2} : q_{3} = 2 : 2 : 2 = 1 : 1 : 1$