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An ideal inductor, (having initial curre...

An ideal inductor, (having initial current zero) a resistor and an ideal battery are connected in series at time `t = 0`. At any time `t`, the battery supplies energy at the rate `P_(B)`, the resistor dissipates energy at the rate `P_(R )` and the inductor stores enegy at the rate `P_(L)`.

A

`P_(B) = P_(R ) + P_(L)` for all times `t`.

B

`P_(R ) lt P_(L)` for all times `t`

C

`P_(R ) lt P_(L)` only near the starting of the circuit.

D

`P_(R ) gt P_(L)` only near the starting of the circuit.

Text Solution

Verified by Experts

The correct Answer is:
A, C
By principal of energy conservation.
`P_(B) = P_(R ) + P_(L)`
Near the starting of the circuit
`P_(R ) = i^(2)R` and `P_(L) = L i (di)/(dt)`.
As `(di)/(dt)` has greater the starting of the circuit, `P_(L) gt P_(R )`
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