A coil of 15 turns and radius 10.0cm surrounds a long radius of 1.90 cm and 1.00*10^3 turns/meter. The current in the solenoid changes as I = 7.00 sin 120 t, where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15 turn coil as a function of time.

Q: 11. Suppose that the coil illustrated below has a length of L = 20.0 m, a radius of r = 1.00 m, N =…

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Q: A solenoid with 1200 turns per meter has a diameter of 5.00 cm. A current I = 2.47 A flows in the…

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Q: A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid…

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Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00cm and 1.00x103…

A: Given that  no of turns 15 turns radius 10.0 cm long solenoid of radius 2.00cm and 1.00x103…

Q: A circular coil of radius 12.5 cm is located in a region of magnetic field where  B(t) = (+0.3…

A: It is given that,

Q: A long, straight solenoid has 800 turns. When the current in the solenoid is 2.90 A, the average…

A: We know, ε=-Ldidt=Ldidtdidt=εL=εNϕBI

Q: The initial angular speed of the coil in the generator is 5.00 rad/s and the initial amplitude of…

A: the  emf induced is directly proportional to the angular speed . thus, as the angular speed increase…

Q: Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2…

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Q: A long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500…

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Q: A long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500…

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Q: A 48 turn conductive loop encloses an area of 71 m 2 At what constant rate should the magnetic field…

A: Given, Number of turns N = 48  Area A = 71m2 emf ε=3.58 Volts   We know the expression for induced…

Q: A square single loop of wire 4.00 cm on a side with 875 turns lies in the xy-plane. The loop is in a…

A: side of loop= 4 cm number of turn= 875

Q: A coil of 15 turns and a radius of (R=10.0) cm surrounds a long solenoid of radius 2.00 cm and 1194…

A: The coil =15turns  The radius R=10cm  long solenoid radius =2cm

Q: A long solenoid has a cross-sectional area of 3.00 cm?. The current through the windings is…

A:

Q: A wire loop of radius 0.33 m lies so that an external magnetic field of magnitude 0.35 T is…

A: Radius of loop (r) = 0.33 m Initial magnetic field (B) = 0.35 T Final magnetic field (B') = -0.16 T…

Q: A 490-turn solenoid, 30 cm long, has a diameter of 3.5 cm. A 15-turn coil is wound tightly around…

A: Initially, the current in the solenoid is zero. Therefore, the initial magnetic field will be zero.…

Q: A small loop of area 6.8 mm2 is placed inside a long solenoid that has 854 turns/cm and carries a…

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Q: An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The…

A: The Faraday’s laws for solenoid says, Here, N is the number of turns in coil; ϕ is the magnetic…

Q: A wire loop of radius 0.33 m lies so that an external magnetic field of magnitude 0.35 Tis…

A: Given  Radius of loop r=0.33m Initial magnetic field Bi=0.35T Final magnetic field Bf=0.16 T Time…

Q: 2. Circle coil area 3.0 square centimeter Placed in a uniform magnetic field (B) 0.5 tesla, directed…

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Q: A small loop of area A = 7.6 mm2 is inside a long solenoid that has n = 927 turns/cm and carries a…

A: Answer:-  Given  Area (A) = 7.6 mm2 = 7.6 × 10-6 m2  Number of turns per unit length (n) = N/L = 927…

Q: A rectangular loop of length x = 11 cm and width y = 5.0 cm moves with speed v = 3.0 m/s from a…

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Q: Two coils are placed near each other and they have a mutual inductance of 887.4 mH. If the current…

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Q: A 21-turn circular coil of radius 3.00 cm and resistance 1.00 N is placed in a magnetic field…

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Q: What is the induced emf in the coil as a function of time for this angular speed

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Q: A long straight wire runs along the y-axis and carries a current i = 4.00cos (377t), where į is in…

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Q: A 750-turn solenoid, 23 cm long, has a diameter of 2.7 cm . A 11-turn coil is wound tightly around…

A: Consider the number of turns of the solenoid be N, the radius of the solenoid be r, the length of…

Q: A 750-turn solenoid, 26 cm long, has a diameter of 2.5 cm. A 16-turn coil is wound tightly around…

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Q: The magnetic field through a single loop of wire, 12 cm in radius and of 8.5 ohms resistance changes…

A: Emf = The rate of change of magnetic flux  Emf = d∅ / dt  Where ϕ = magnetic flux = BA B = magnetic…

Q: A long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500…

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Q: A 5.00 [cm] long solenoidal inductor has 50 turns and radius of 3.00 [cm]. If the current varies at…

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Q: When the current in a toroidal solenoid changes at a rate of0.025 A/s, the magnitude of the induced…

A: The emf induced in the solenoid coil is,

Q: In a 290-turn automobile alternator, the magnetic flux in each turn is PR = 2.50 x 10-4 cos wt,…

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Q: A coil with an inductance of 2.6 H and a resistance of 8.2 Ω is suddenly connected to an ideal…

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Q: A flat circular coil having 120 turns. each one of cross-sectional area 0.028 m, is in a uniform and…

A: Number of turns, N = 120  Area, A = 0.028 m2  Magnetic field, B = 0.25 T  time, t = 5 ms

Q: A ten-loop coil having an area of 0.23 m^2 and a very large resistance is in a 0.047 T uniform…

A: Given Data: Turn count, N=10 Coil area, A=0.23 m2 Magnetic field (M.F.), B=0.047 T Coil rotation…

Q: A circular loop of flexible iron wire has an initial circumference of 130 cm at t=0, but its…

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Q: A long solenoid of radius r = 1.60 cm is wound with 4.00 ✕ 103 turns/m and carries a current that…

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Q: When the current in a toroidal solenoid is changing at a rate of 0.234 A/s, the magnitude of the…

A: Given: current in the toroidal solenoid is changing at a rate of 0.234 A/s induced emf is 9 mV…

Q: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,…

A: The given values are, N=2000L=0.040 Hh=0.10 mU=2.0×10-6 J

Q: A coil of 15 turns and radius 10 cm surrounds a long solenoid of radius 2.00 cm and has 1.00 x 103…

A: Formula of induced emf is as follows; ε=-d∅dt∅=μ0πr2nNIhence,ε=-μ0πr2nNdIdt…

Q: A solenoid of length 3.70 cm and diameter 0.760 cm is wound with 272 turns per centimeter. A) If…

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Q: A long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500…

A:

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention.