A solenoid wound with 2020 turns/m is supplied with current that varies in time according to I = (4 A)sin(120πt), where t is in s. A small coaxial circular coil of 40 turns and radius r = 4.1 cm is located inside the solenoid near its center.
(a) Derive an expression that describes the manner in which the emf in the small coil varies in time. (Use the following as necessary: t.)
(b) At what average rate is energy transformed into internal energy in the small coil if the windings have a total resistance of 8.00 Ω?
A solenoid wound with 2020 turns/m is supplied with current that varies in time according to...
A very long, straight solenoid with a diameter of 3.00 cm is wound with 40 turns of wire per centimeter and the windings carry a current of 0.260 A. A second coil having N turns and a larger diameter is slipped over the solenoid so that the two are coaxial. The current in the solenoid is ramped down to zero over a period of 0.2s. What average emf is induced in the second coil if it has a diameter of...
What is the radius of a tightly wound solenoid of circular cross-section that has 130 turns if a change in its internal magnetic field of 4.0 T/s causes a 4.5 A current to flow? The resistance of the circuit that contains the solenoid is 17 Ω. The only emf source for the circuit is the induced emf.
Path: p ords:0 QUESTION 15 A solenoid that with a cross section area of 0.003 m 2 is wound with 700 turns/meter. THe current varies as I()- 2*sin(120 t). a. What is the maximum value of the magnetic field in the solenoid? b. A loop with an area of 0.0001 m2 is place inside the solenoid. What is the amplitude of the induced emf in the coil? Save
A long solenoid has n = 380 turns per meter and carries a current given by I = 34.0(1 − e−1.60t ), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (see figure below). What emf is induced in the coil by the changing current? (Use the...
3. Find the magnitude of the induced electric field outside a long solenoid at a distance rZR from its central axis if the solenoid is of radius R and hasn turns of wire per unit length and carries a time-varying current that varies sinusoidally as l = 1-cos cot where I-is maximum current and ω is the angular frequency of the current source. 4. A rectangular coil of N windings had an emf of 40 mV induced in it wher...
Consider a long, closely wound solenoid with 10,000 turns per meter. What current, in amperes, is needed in the solenoid to produce a magnetic field inside the solenoid, near its center, that is 104 times the Earth’s magnetic field of 4.85 × 10-5 T?
A coil of 15 turns and radius 10 cm is located inside and coaxial with a solenoid that has a radius 18 cm and 1.00 x 10 turns/meter. The current in the solenoid changes as 73.00 sin 120 t. where is in amperes and tis in seconds. Find the magnitude of induced emf (in volts) in the 15-turn coil as a function of time. OE=0.69 cos(120) E=0.69 sin(120) OE=0.21 cos(120) OE=0.21 sin(1200)
A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.30 cm and 1.00 times 10^3 turns/meter (see figure below). The current in the solenoid changes as I = 8.00 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 sigma =
a. A coil of wire with 209 circular turns of radius 3.10 cm is in a uniform magnetic field along the axis of the coil. The coil has R = 41.5 Ω . At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.149 A in the coil? b. A closely wound rectangular coil of 90.0 turns has dimensions of 30.0 cm by 47.0 cm . The plane of the coil is...
A long solenoid has n=410 turns per meter and carries a current given by t=31.0(1-e-1.60t), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R=6.00 cm and consists of a total of N=250 tums of fine wire (see figure below). What emf is induced in the coll by the changing current? (Use the following as necessary: t. Assume ε is in mV and t...