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Magnetic Field of a SolenoidMohan tightly wound a very long copper wire on a PVC pipe and carefully took the pipe out. The two ends of the copper wire then attached to a battery. This cylindrical shape of copper wire showed few properties of a bar magnet. Later he found that it is called a solenoid and this solenoid is used in several devices such as door bell, relay switch etc. The magnetic field of a solenoid is given below.The magnetic field strength of a solenoid having n turns is `B=mu_0nl`, where, `I` is the current flowing in the solenoid.The
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A point charge +10 µC is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. . What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10
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The self-inductance of a coil having 500 turns is `50 mH`. The magnetic flux through the cross-sectional area of the coil while current through it is 8 mA, is found to
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A sinusoidal voltage of peak value `300 V` and an angular frequency `omega = 400 rads^(-1)` is applied to series L-C-R circuit, in which `R=3Omega, L = 20 mH and C = 625muF`. The peak current in the circuit
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(i) Draw a ray diagram for formation of image of a point object by a thin double convex lens having radii of curvatures `R_1 and R_2` and hence, derive lens maker's formula. (ii) Define power of a lens and give its SI unit. If a convex lens of length 50 cm is placed in contact coaxially with a concave lens of focal length 20 cm, what is the power of the
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Let `P(r) = Q/(πR^4)r` be the charge density distribution for a solid sphere of radius R and total charge Q. For a point ‘P’ inside the sphere at distance `r_1` from the centre of the sphere the magnitude of electric field
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A paisa coin is made up of Al−Mg alloy and weighs 0.75g. It has a square shape and its diagonal measures 17mm. It is electrically neutral and contains equal amounts of positive and negative charges. Treating the paisa coins made up of only Al, find the magnitude of an equal number of positive and negative
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A (current vs time) graph of the current passing through a solenoid is shown in Fig . For which time is the back electromotive force (u) a maximum. If the back emf at t = 3s is e, find the back emf at t = 7 s, 15s and 40s. OA, AB and BC are straight line segments.
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Assertion: At macroscopic level, quantisation of charge has no practical consequence and can be ignored. Reason: `1 muC` charge contains `10^(15)` times electronic charge e
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The electrostatic potential energy between proton and electron separated by a distance of `1 A^o`
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Electrostatic Potential Energy Electrostatic potential energy of a system of point charges is defined as the total amount of work done in bringing the different charges to their respective positions from infinitely large mutual separations.By definition, work done in carrying charge from `oo` to any point is W = Potential `xx` ChargeThis work is stored in the system of two point charges in the form of electrostatic potential energy U of the system.Three charges are placed at the vertex of an equilateral triangle of side `l` as shown in figure. For what value of `Q` the electrostatic potential energy
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A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body
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The Electric field at a point
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A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the
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A monoenergetic (18 keV) electron beam initially in the horizontal direction is subjected to a horizontal magnetic field of 0.04 G normal to the initial direction. Estimate the up or down deflection of the beam over a distance of 30 cm (me = 9.11 × 10 –31 kg). [Note: Data in this exercise are so chosen that the answer will give you an idea of the effect of earth’s magnetic field on the motion of the electron beam from the electron gun to the screen in a TV
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Five long wires A, B, C, D and E, each carrying current I are arranged to form edges of a pentagonal prism as shown in Fig. Each carries current out of the plane of paper. What will be magnetic induction at a point on the axis O?
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An air capacitor is charged with an amount of charge `q` and dipped into an oil tank. If the oil is pumped out, the electric field between the plates of capacitor
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The optical properties of a medium are governed by the relative permitivity (`ε_r`) and relative permeability (`μ_r` ). The refractive index is defined as `sqrt(μ_rε_r) = n` .For ordinary material `ε_r` > 0 and `μ_r` > 0 and the positive sign is taken for the square root. In 1964, a Russian scientist V. Veselago postulated the existence of material with `ε_r` < 0 and `μ_r` < 0. Since then such ‘metamaterials’ have been produced in the laboratories and their optical properties studied. For such materials `n = -sqrt(μ εr r)` . As light enters a medium of such refractive
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The electric potential in a region is given by the relation `V(x) = 4 + 5x^2` . If a dipole is placed at position (–1,0) with dipole moment `vecp` pointing along positive Y-direction,
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For an LCR circuit, the power transferred from the driving source to the driven oscillator is `P=I^2
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