An ac generator has emf ε = εmsin⁡(ωdt − π/4), where εm = 28.7 V and ω

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An ac generator has emf ε = εmsin⁡(ωdt − π/4), where εm = 28.7 V and ωd = 432 rad/s. The current produced in a connected circuit is i(t) = I sin⁡(ωdt − 3π/4), where I = 483 mA. At what time after t = 0 does (a) the generator emf first reach a maximum and (b) the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor, an inductor, or a resistor? (d) What is the value of the capacitance, inductance, or resistance, as the case may be? (a) Number Units (b) Number (c) (d) Number Units

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An ac generator has emf

ε = ε_{m} \sin (ω_{d} t - π / 4)

, where

ε_{m} = 28.7 V

and

ω_{d} = 432 r a d / s

. The current produced in a connected circuit is

i (t) = 1

\sin (ω_{d} t - 3 π / 4)

, where

I = 483 m A

. At what time after

t = 0

does (a) the generator emf first reach a maximum and (b) the current first reach a maximum? (c) The circuit contains a single element other than the generator. Is it a capacitor, an inductor, or a resistor? (d) What is the value of the capacitance, inductance, or resistance, as the case may be? (a) Number i Units