Suppose the current in a conductor decreases exponentially with time according to the equation I(t) = I0e-t/τ, where I0 is the i
nitial current (at t = 0), and τ is a constant having dimensions of time. Consider a fixed observation point within the conductor.
Required:
a. How much charge passes this point between t = 0 and t = τ?
b. How much charge passes this point between t = 0 and t = 10 τ?
c. What If ? How much charge passes this point between t = 0 and t = [infinity]?
Required:
a. How much charge passes this point between t = 0 and t = τ?
b. How much charge passes this point between t = 0 and t = 10 τ?
c. What If ? How much charge passes this point between t = 0 and t = [infinity]?
1 answer:
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Answer:
A)
B)
C)
Explanation:
Given:
- mass of flywheel,
- diameter of flywheel,
- rotational speed of flywheel,
- duration for which the power is off,
- no. of revolutions made during the power is off,
<u>Using equation of motion:</u>
Negative sign denotes deceleration.
A)
Now using the equation:
is the angular velocity of the flywheel when the power comes back.
B)
Here:
Now using the equation:
is the time after which the flywheel stops.
C)
Using the equation of motion:
revolutions are made before stopping.