An RLC circuit has a resistance of 200 Ω and an inductance of 15 mH. Its oscillation frequency is 7000 Hz. At time t = 0, the current is 25 mA, and there is no charge on the capacitor. After five complete cycles, the current is

The current in the RLC circuit after five (5) complete cycles is equal to

Given the following data:

To determine the current in the RLC circuit after five (5) complete cycles, we would use the following formula:

Note: There is no electrical charge on the capacitor.

After five (5) complete cycles, the formula becomes:

Substituting the given parameters into the formula, we have;

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2.13 × 10^-4 A

Explanation:

Given that the RLC circuit has a resistance R = 200 Ω and an inductance L = 15 mH.

Its oscillation frequency F = 7000 Hz

The initial current I = 25 mA = 25/1000 or 25 × 10^-3 A

Since there is no charge on the capacitor, the current after complete 5 circle will be achieved by using the formula in the attached file.

Please find the attached file for the remaining explanation for the solution.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s