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A current of 5 A flows through a conductor of resistance 10 ohms for 2 minutes. Calculate the total charge passed.
100 C
300 C
600 C
1200 C
600 C
The total electric charge passed through a conductor is the product of the current flowing and the time duration for which it flows. Given a current of 5┬аA for 2┬аminutes (120┬аseconds), the charge is calculated as 5├Ч120=600┬аC.
The total electric charge passed through a conductor is the product of the current flowing and the time duration for which it flows. Given a current of 5┬аA for 2┬аminutes (120┬аseconds), the charge is calculated as 5├Ч120=600┬аC.
Think of current as the flow rate of water in a pipe (liters per second) and charge as the total volume of water that has passed through the pipe in a given time.
Remember 'QIT' (Charge = Current ├Ч Time).
I=tQтАЛ тАФ Definition of electric current
Q=I├Чt тАФ Formula to calculate total charge
Electric current is defined as the rate of flow of electric charge, mathematically expressed as I=tQтАЛ, where I is current, Q is charge, and t is time. By rearranging this formula to Q=I├Чt, we determine the total quantity of charge moved through the cross-section of the conductor. The resistance of 10┬а╬й is extraneous information in this specific calculation as the current is already provided.
Charge (Q) is measured in Coulombs (C).
Time (t) must be converted from minutes to seconds (SI unit) before calculation.
Resistance (R) does not affect the calculation of total charge if current (I) and time (t) are already known.
Simple relationship between fundamental electrical quantities.
Determining battery capacity.
Calculating total energy consumption in circuits.
1┬аminute=60┬аseconds.
Option B (300 C) results from failing to convert minutes to seconds (5├Ч60=300).
Option D (1200 C) might result from an incorrect multiplication error or misreading the time factor.
C is correct тАФ The total charge is calculated using the formula Q=I├Чt, which yields 5┬аA├Ч120┬аs=600┬аC.
Always check units before calculating; time is almost always required in seconds for electrical physics problems to match the Ampere (C/s) unit.