Question

How long would it take for 3.5 C of charge to pass through a cross-sectional area of a wire in which a current of 5 mA passes?

Answer 1

Answer:

The time taken for the charge to pass through the wire = 700 s or 11.67 minutes or 0.194 hours

Explanation:

Electric Charge: This is defined as the product of electric current to time in a an electric circuit. The S.I unit of charge is Coulombs (C).

Mathematically, it is represented as

Q = it.......................... Equation 1

Where Q =quantity of charge, I = current, t = time

making t the subject of formula in equation 1,

t = Q/I ....................... Equation 2

Given: Q = 3.5 C, I = 5 mA.

Conversion: We convert from mA to A

I.e 5 mA = (5 × 10⁻³) A = 0.005 A.

Substituting these values into equation 2

t = 3.5/0.005

t = 700 seconds  

or

(700/60) minutes = 11.67 minutes

or

(700/3600) hours = 0.194 hours.

Therefore the time taken for the charge to pass through the wire = 700 s or 11.67 minutes or 0.194 hours