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.)
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- A long solenoid has n = 420 turns per meter and carries a current given by I 33.0(1 – e-1.60t 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 following as necessary: t. Assume E is in mV and t is in seconds.) E = -.078e-1.60t I n turns/m ©0000000000 R 000000000000000000000 N turnsIn the figure, a 110-turn coil of radius 3.2 cm and resistance 7.7 Q is coaxial with a solenoid of 260 turns/cm and diameter 4.6 cm. The solenoid current drops from 2.1 A to zero in time interval At = 32 ms. What current is induced in amperes in the coil during At? Coil Solenoid Number i Units >A solenoid has the following dimensions. inner diameter d = 4.22 cm length L = 42.7 cm When a current flows through the coil of the solenoid, the magnetic field inside the solenoid is 5.40 T. (a) Determine the magnetic energy density (in J/m³) in the field. UB = 1.16 Apply the equation for the magnetic energy density and insert values. J/m³ (b) Determine the energy (in kJ) stored in the magnetic field within the solenoid. KJ UB =
- A square coil of wire of side 3.20 cm is placed in a uniform magnetic field of magnitude 2.25 T directed into the page as in the figure shown below. The coil has 33.5 turns and a resistance of 0.780 2. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis (a) the magnitude of the average emf induced in the coil during this rotation mV (b) the average current induced in the coil during this rotation mA x Xx X x xx xAn air-core solenoid with 66 turns is 8.00 cm long and has a diameter of 1.20 cm. When the solenoid carries a current of 0.700 A, how much energy is stored in its magnetic field? 1.57 What is the inductance of this solenoid? µJAn emf of 28.5 mV is induced in a 501 turn coil when the current is changing at a rate of 10.5 A/s. What is the magnetic flux through each turn of the coil at an instant when the current is 4.00 A? (Enter the magnitude.)
- An MRI technician moves her hand from a region of very low magnetic field strength ( approximately zero) into the MRI scanner's field in a quick motion, taking 3.1 milliseconds. The MRI is essentially a solenoid, with 1500 loops of wire. By doing so, a current of 0.15 milliAmps is induced in her wedding ring. If her wedding ring has a diameter of 1.95 cm and it has measured resistance of 119 Ohms, what is the magnetic field in the MRI.A 42 turn conductive loop encloses an area of 0.68 m2. At what constant rate should the magnetic field directed perpendicular to the loop change with time if the induced emf is to be 3.6 Volts? Consider only positive numbers here in your answer.