Question

A steady current of 5A flows through a circuit for 30minutes. How
much charge has circulated through the circuit in this time?

Answer 1

Answer:

30x60x5 =9000

Explanation:

1 minute =60 second

60×30= 1800second

Q= IT

5×1800=9000

Answer 2

The charge that flows through the circuit is $9X10^{3} coulombs$.

Given,

Current flowing through the circuit=5 A

Time that the current flows for=30 minutes.

To find,

the charge that flows through the circuit.

Solution:

• Electric current is defined as the rate of flow of charge.

• Electric current is denoted by I.
• $I=\frac{Q}{t}$.
• where, Q-charge flowing through the circuit, t-time that the charge flows for.
• Its S.I. unit is Ampere.
• It is a scalar quantity.
• There can be average current and instantaneous current.
• Average current is the rate of flow of a charge ΔQ in a time interval of Δt.
• $Iavg=\frac{Q2-Q1}{t2-t1}$.
• Instantaneous current is the rate of flow of a very small charge dQ in very less time dt.
• $Iintsantaneous=\frac{dQ}{dt}$.
• 1 minute=60 seconds.
• 30 minutes=(60 x 30) seconds.
• 30 minutes=1800 seconds.

$I=\frac{Q}{t} \\Q=It\\Q=5X1800\\Q=9000 C.$

Hence, $9X10^{3} coulombs$ of charge flows through the circuit.

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