A 60.0-m length of insulated copper wire is wound to form a solenoid of radius 2.0 cm. The copper wire has a radius of 0.50 mm. (a) What is the resistance of the wire? (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? (c) How long is the resulting solenoid? (d) What is the self-inductance of the solenoid? (e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 mV, compute the time constant of the circuit. (f) What is the maximum current attained? (g) How long would it take to reach 99.9% of its maximum current? (h) What maximum energy is stored in the inductor?

Q: A rectangular metallic loop of dimensions ℓ and ω and resistance R moves with constant speed υ to…

A: Given: Dimension of loop = l×w. Width of magnetic field = 3w. Velocity of loop = v. Resistance with…

Q: Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 470…

A: Given that: NA=470 NB=570iA=2.60 AϕA=300μWb=300×10-6 WbϕB=90μWb=90×10-6 Wbdidt=0.5 A/s

Q: Two identical long wires of radius a =1.53 mm are parallel and carry identical currents in opposite…

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Q: An aluminum ring of radius r₁=5.00 cm and a resistance of 3.55 x 10-4 is placed around one end of a…

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Q: A 4.10 x 10 -5 H solenoid is constructed by wrapping 77 turns of wire around a cylinder with a…

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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: Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays…

A: The expression for the EMF of a coil, ε=-dϕdtThe magnetic flux of the coil isϕ=MI

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: An aluminum ring of radius r = 5.00 cm and a resistance of 4.15 x 104 N is placed around one end of…

A: Due to magnetic field of solenoid the current is induced .

Q: An aluminum ring of radius r, = 5.00 cm and a resistance of 3.65 x 104 N is placed around one end of…

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Q: A Tesla coil consists of a long solenoid with length L = 0.5 m that is closely wound with N1 = 1000…

A: Given data: The length of solenoid is L=0.5 m. The number of turns are, N1=1000N2=10 The area of…

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 5.70 x 10 -5 H solenoid is constructed by wrapping 80 turns of wire around a cylinder with a…

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Q: A solenoid with an inductance of 14 mH is charged up from an initial current of 3.0 A to a current…

A: Inductance of the solenoid L=14 mH=14*10-3H, it is charged up from current I1=3 A to I2=7 A in a…

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

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Q: A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of 0.500cm2 a) How many turns…

A: Radius of toroid is, r = 10 cm Cross-sectional area is,  A = 0.5 cm2 Inductance of toroid is, L =…

Q: What is the self-inductance of an ideal solenoid that is 300 cm long with a cross-sectional area of…

A: Length (L) = 300 cm  = 3 m  Area of cross section (A) = 10-4 m2  Number of turns (N) = 1000

Q: An aluminum ring of radius r1 = 5.00 cm and resistance 3.00 x 10-4 V is placed around one end of a…

A: Given Data: The radius of the aluminum ring is, r1=5.00 cm The radius of a solenoid is, r2=3.00 cm…

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: A solenoid of radius 2.70 cm has 580 turns and a length of 15.0 cm. (a) Find its inductance. mH (b)…

A: Given  radius of solenoid(r)=0.027 m so cross section arey(A)=0.00229 m2 turns(N)=580 length(l)=0.15…

Q: A toroid of rectangular cross section has height h=0.0137 m, inner radius ry -0.0231 m and outer…

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Q: A solenoid of radius 2.30 cm has 480 turns and a length of 15.0 cm. (a) Find its inductance. Apply…

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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 30-cm-long cylindrical solenoid with a radius of 5.0 cm consists of 500 turns wrapped around its…

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Q: 16) R1 R3 L x x X R x d. R2 x x x x x A bar of length d = 1 mis free to slide without friction on…

A: Answer: Option E

Q: A student decides to make a solenoid by wrapping a piece of wire around a battery cell of length…

A: Given: Length of the solenoid: l=4.25 cm=4.25 cm×1 m100 cml=4.25×10-2 m   Diameter: d=1…

Q: In Figure (a), a circular loop of wire is concentric with a solenoid and lies in a plane…

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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: Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 320…

A: Given: The number of turns are N=320. The number of turns are N'=550. The current is I=3 A. The…

Q: A 10-turn ideal solenoid has an inductance of 3.5mH. When the solenoid carries a current of 2.0A the…

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Q: A toroidal solenoid has 2900 closely wound turns, cross-sectional area 0.450 cm2, mean radius 9.00…

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Q: An air-core solenoid has N = 1525 turns, d = 0.37 m length, and cross sectional area A = 0.066 m2.…

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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: Two solenoids A and B, spaced close to each other and sharing the same cylindrical axis, have 340…

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Q: Self-inductance (L) of a 40.0 cm long solenoid containing N = 400 turns, and cross-sectional area of…

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Q: An air core solenoid has a length of 10 cm and a cross-sectional area of 5 cm?. If it is wound with…

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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: An aluminum ring of radius r, = 5.00 cm and a resistance of 3.65 x 10-4 2 is placed around one end…

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Q: A 50cm long solenoid, having 500 turns and radius 2cm ,is wound on an iron core of relative…

A: Length of solenoid: l = 50 cm = 0.50 m Number of turns : N = 500  Radius of solenoid; r = 2 cm =…

Q: Calculate the inductance of a toroid whose inside radius is equal to b and cross-section has the…

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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 circular coil has 250 turns and radius 1.50 cm. When a current of 5.00 A flows in the coil, the…

A: Given, Number of turns n=250 Radius R=1.50 cm Current I=5.00 A Magnetic flux density B=0.050 T

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.