A coil of 15 turns and radius 10-0cm Surrounds a long solenuvid of radius 2.50cm and 1-00 x 103 turns / meter. The current in the solenoid Changes as I = 5.00 Sin 120t, where I is in amperes and + is in seconds. Find the induced emt (in volts) in the 15-turn coil as a function of time-
Q: induced emf (in volts) in the 15-turn coil as a function of time.
A: We know that, ε=-dϕdt......Faraday's lawwhere, ϕ is magnetic flux ε is induced emfThis law gives us…
Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.30 cm and 1.00 x 10³…
A: Number of turns ( N ) = 15 Radius of the coil ( r ) = 10 cm = 0.1 m Current ( I ) = 4.00 sin( 120t )…
Q: Find the induced emf in the coil as a function of time if f=10 Hz.
A:
Q: 15-turn coil R
A: Given,For solenoidr = 1.9 cm = 0.019 mn = 1000 turns/mI = 5 sin (120 t)For coil,N = 15R = 10 cm =…
Q: A long solenoid with n=18 turns per centimeter has a cross-sectional area of 3.0cm^2, and carries a…
A:
Q: A solenoid has a winding of 400 turns, has a length of 30.0 cm and an area of 5.00 cm2. Find the…
A: Step 1: Step 2: Step 3: Step 4:
Q: A long solenoid has n = 420 turns per meter and carries a current given by I = 33.0(1 - e-1.60t ),…
A: Given information: The number of turns in the solenoid, n=420 The current through the solenoid,…
Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 x 10…
A:
Q: A N = 245-turn solenoid with inductance, L = 75.8 mH, is wired in series to an emf, & = 60.5 V, a…
A: N=245 L=75.8 mH=75.8×10-3 Hε=60.5 VR=12.2 Ω
Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.50 cm and 1.00 x 10…
A:
Q: A solenoid of radius 2.70 cm has 580 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…
A:
Q: The magnetic flux through each turn of a 210-turn coil is given by B = 9.25 x 10-³ sin(at), where is…
A: Given: The number of turns is 210. The magnetic flux is. ϕB=9.25×10-3sinωt…
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 long solenoid has n = 360 turns per meter and carries a current given by I = 34.0(1 - e-1.60t ),…
A:
Q: A solenoid of radius 3.50 cm has 800 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…
A:
Q: A coil of 15 turns and radius 10.0cm surrounds a long radius of 1.90 cm and 1.00*10^3 turns/meter.…
A: Induced emf ε=-Ndϕdt=-NddtBA=-Nddtμ0nIA=-Nμ0nAdIdt=-Nμ0nAddt7.00sin120t=-154π×10-7 Hm1.00×103…
Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.80 cm and 1.00 x 10³…
A:
Q: If the current in a 140 mH coil changes steadily from 22.0 A to 10.0 A in 450 ms , what is the…
A: Given data, Inductance L=140 mH Current 22 A-10 A Time t=450 ms
Q: A long solenoid has n = 380 turns per meter and carries a current given by I = 31.0(1 - e-1.60t ),…
A: Using Faraday's law of induction The emf induced in the coils is given by Where = Magnetic flux…
Q: coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.90 cm and 1.00 103…
A:
Q: A coil consists of 25 loops of wire and has a diameter of 10 cm. Its resistance is 0.1Ω. At t=0 it…
A:
Q: If the current in a 160-mH coil changes steadily from 25.0A to 10.0A in 350 ms, what is the…
A:
Q: Long solenoid has 211 turns/cm and carries a current i=1.5A; its radius is 1.8 cm. A coil of 101…
A: The change in magnetic field is,
Q: coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (see…
A: Given:- N =450 turns I = 34(1- e-1.60t ) R=6cm = 0.06 m n = 250 turns
Q: A solenoid of radius 1.50 cm has 600 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…
A: To calculate the inductance of a solenoid, we can use the formula for the inductance of a solenoid:
Q: A long solenoid has n = 420 turns per meter and carries a current given by I = 33.0(1 - e-1.60t ),…
A: Determine the magnetic field in the solenoid as follows. B=μ0nI=4π×10-7…
Q: seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time. 15-turn coil
A: Given data as per question N = 15 I = 6sin 120t n = 1000
Q: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.40 cm and 1.00*103…
A: It is given that, the number of turns of the coil is N=15radius of the coil(r) =10 cm=0.1 mcurrent…
Q: A 2-turn planer loop of flexible wire is placed inside a long solenoid of n turns per meter that…
A: Given that,Number of turns per meter , N=500Current, I0=20AArea, A=20 cm2Permeability of free space,…
Step by step
Solved in 3 steps
- A solenoid of radius 3.10 cm has 680 turns and a length of 25.0 cm. (a) Find its inductance. mH (b) Find the rate at which current must change through it to produce an emf of 90.0 mV. (Enter the magnitude.) A/sThe current in a 90.0-mH inductor changes with time as / = 1.00 -6.00t, where i is in amperes and t is in seconds. Find the magnitude of the induced emf at t = 4.00 s and at what time is emf zero.An inductor consists of 100 turns of wire tightly wound about an insulating core. It is attached to a power supply and when the current through it is increased from 0 to 5 A in 3, s an induced emf of 5 V is measured. Find the inductance of this device and the magnetic flux and the energy stored in the magnetic field when the current is held steady at 5 A.
- Two coils are placed close to each other and have a mutual inductance of 150 µH. The current through one coil is given by, I(t)=5sin(1000t). Estimate the time when the emf will be maximum on the second coil.A 30-turn circular coil of radius 4.00 cm and resistance 1.000 is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 Ot+ 0.040 Of, where B is in teslas and tis in seconds. Calculate the induced emf in the coil at t = 5.00 s.A solenoid of radius 2.30 cm has 560 turns and a length of 25.0 cm. (a) Find its inductance. mH (b) Find the rate at which current must change through it to produce an emf of 50.0 mV. (Enter the magnitude.) A/s
- (a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.A long solenoid has a length 7.9-m, radius 3.5-cm, and 370 turns. It surrounds coil of radius 6.9 meters and 73 turns. If the current in the solenoid is changing at a rate of 710-A/s, what is the magnitude (absolute value) of the emf induced in the surrounding coil? |emf|= = V (Show at least 2 significant figures.)Don't use chat gpt