A charge of 24C passes through a circuit every 9s. If the circuit can generate 6W of power, what is the circuit's resistance?

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A charge of 24C passes through a circuit every 9s. If the circuit can generate 6W of power, what is the circuit&#039;s resistance?

Giancarlo Shah · Accepted Answer

In the given question, we have:-Charge =24C=QTime = 9s = tRate of flow of current thorugh a cross-section of a conductor is givem by the following relation:-Q=It where,Q= Given chargeI = Current that flowst = time (in second)So, putting above stated values in this relation, we get:-24=I*9or   I  =      24    9    APower is defined as the ability to do work. Power is given by the formula:-P=VI where,P = Power in wattV = Potential difference across the circuitI = Current through the circuitPutting values in the relation, we get:-  6  =  V  ∗      24    9  or   V  =  6  ∗      9    24    VAs stated above, the expression for Ohm&#039;s Law gives resistance as:-  R  =      V    I  Hence, using the values obtained for V and I , we get:-  R  =  6  X      9    24    ∗      9    24  or   R  =  0.84  ΩHence, the resistance of the circuit is   0.84  Ω

A charge of 24C passes through a circuit every 9s.

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