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Question 13.1: A coil has an inductance of 1.5 H and a wire resistance of 6......

A coil has an inductance of 1.5 H and a wire resistance of 6 Ω. If the coil is connected to a battery of 3 V, how long will it take the current to reach its full Ohm’s law value of 0.5 A (3 V/6 Ω = 0.5 A)?

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To find the time of one time constant, use the formula

{T}={\frac{L}{R}}

{T}={\frac{1.5\ H}{6\ \Omega}}

T = 0.25 s

The time for one time constant is 0.25 s. Because five time constants are required for the current to reach its full value of 0.5 A, 0.25 s will be multiplied by 5:

0.25 s × 5 = 1.25 s

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