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
700 second will 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.
What information do we have?
Charges of partical = 3.5 C
Current = 5 mA = (5 × 10⁻³) A
Charge = (Curernt)(time)
Q = iT
T = Q / i
Time taken = 3.5 / (5 × 10⁻³)
Time taken = 700 seconds or 11.67 minutes
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