Question
(a) Obtain an expression for current flowing through an ideal inductor joined with an ac source of voltage $v=v_0 \sin \omega t$ by using phasor diagram. Draw a graph between (i) voltage applied and (ii) current as a function of (wt.).
(b) Obtain an expression for average power dissipation in any series LCR circuit.

Answer

SELF

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A tightly-wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n(dx) turns and may be approximated as a circular current in (dx).
  1. Write the magnetic field at the centre of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the centre of the solenoid.
  2. Verify that if a >> l, the field tends to $\text{B}=\frac{\mu_0\text{nil}}{2\text{a}}.$ Interpret these results.
A particle slides on the surface of a fixed smooth sphere starting from the topmost point. Find the angle rotated by the radius through the particle, when it leaves contact with the sphere.
Figure. showa a part of an electric circuit. The potentials at the point a, b and c are 30V, 12V and 2V respectively. Find the currents through the three resistors.

Write the definition of electric flux.Obtain the expression for the electric field intensity at any point due to a uniformly charged straight wire of infinite extension using Gauss'law. Draw the necessary diagram.
A voltmeter of resistance $400\Omega$ is used to measure the potential difference across the $100\Omega$ resistor in the circuit shown in the figure. (a) What will be the reading of the voltmeter? (b) What was the potential difference across $100\Omega$ before the voltmeter was connected?

Can reflection result in plane polarised light if the light is incident on the interface from the side with higher refractive index?
A circular loop of string rotates about its axis on a frictionless horizontal plane at a uniform rate so that the tangential speed of any particle of the string is v. If a small transverse disturbance is produced at. a point of the loop, with what speed (relative to the string) will this disturbance travel on the string?
A charge of $1\mu\text{C}$ is given to one plate of a parallel-plate capacitor of capacitance $0.1\mu\text{F}$ and a charge of $2\mu\text{C}$ is given to the other plate. Find the potential difference developed between the plates.
The block of mass m1 shown in figure is fastened to the spring and the block of mass m2 is placed against it.

  1. Find the compression of the spring in the equilibrium position.
  2. The blocks are pushed a further distance $\big(\frac{2}{\text{k}}\big)(\text{m}_1+\text{m}_2)\text{g}\sin\theta$ sine against the spring and released. Find the position where the two blocks separate.
  3. What is the common speed of blocks at the time of separation?

A group of students while coming from the school noticed a box marked "Danger H.T. 2200 V" at a substation in the main street. They did not understand the utility of such a high voltage, while they argued, the supply was only 220 V.They asked their teacher this question the next day. The teacher thought it to be an important question and therefore explained to the whole class.
Answer the following questions:
  1. What device is used to bring the high voltage down to low voltage of a.c. Current and what is the principle of its working?
  2. Is it possible to use this device for bringing down the high d.c. Voltage to the low voltage? Explain.
  3. Write the values displayed by the students and the teacher.