Home
Class 12
PHYSICS
A resistance and inductance are connecte...

A resistance and inductance are connected in series across a voltage,
`V=283sin314t`
The current is found to be `4sin(314t-pi//4)`. Find the value of the inductance and resistance.

Text Solution

AI Generated Solution

To solve the problem step by step, we need to analyze the given voltage and current equations, and then use the relationships between voltage, current, resistance, and inductance in an AC circuit. ### Step 1: Identify the given voltage and current equations The voltage is given as: \[ V = 283 \sin(314t) \] The current is given as: \[ I = 4 \sin(314t - \frac{\pi}{4}) \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

An inductance and a resistance are connected in series with an AC potential . In this circuit

An inductor 20xx10^(-3) a capacitor 100(mu)F and a resistor 50 Omega are connected in series across a source of emf V=10 sin 314 t . If resistance is removed from the circuit and the value of inductance is doubled, the variation of current with time in the new circuit is

A resistance of 300Omega and an inductance of 1/(pi) henry are connected in series to an AC voltage of 20 "volts" and 200Hz frequency. The phase angle between the voltage and current is

A coil of inductance 300mh and resistance 2Omega is connected to a source of voltage 2V . The current reaches half of its steady state value in

An inductor 20xx10^(-3) a capacitor 100(mu)F and a resistor 50 Omega are connected in series across a source of emf V=10 sin 314 t . Then the energy dissipated in the circuit in 20 mim is

A coil of resistance R and inductance L is connected across an a.c power supply of r.m.s. voltage V. The average power dissipated in the coil is,

The current through an inductor of 1H is given by i =3t sin t . Find the voltage across the inductor.

A closed circuit consits of a source of constant and E and a choke coil of inductance L connected in series. The active resistance of the whole circuit is equal to R . At the moment t = 0 the choke coil inductance was decreased abrupty eta times. FInd the current in the circuit as a function of time t .

A 100 Omega resistasnce is connected in series with a 4 H inductor. The voltage across the resistor is V_R=(2.0V)sin(10^3 rad//s)t : (a) Find the expession of circuit current (b) Find the inductive reactance (c) derive an expression for the voltage across the inductor,

A 100 Omega resistasnce is connected in series with a 4 H inductor. The voltage across the resistor is V_R=(2.0V)sin(10^3 rad//s)t : (a) Find the expession of circuit current (b) Find the inductive reactance (c) derive an expression for the voltage across the inductor,