A 10.0-V battery, a 5.00-Q resistor, and a 10.0-H inductor are connected in series. After the current in the circuit has reached its maximum value, calculate the energy stored in the magnetic field of the inductor.
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- Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A current of 9.00 A in one is switched off in 1.60 ms, inducing a 6.00 V emf in the other. What is their mutual inductance (in mH)?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 405 pFcapacitor is charged to 185 V and then quickly connected to a 195 mH inductor. Determine the frequency of oscillation. Determine the peak value of the current. Determine the maximum energy stored in the magnetic field of the inductor.
- An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner’s 2.00 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.35 cm and it takes 0.35 s to move it into the field. Part (a) What average current is induced in the ring in A if its resistance is 0.0100 Ω? Part (b) What average power is dissipated in mW? Part (c) What magnetic field is induced at the center of the ring in T?An 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? µJA 365 pF capacitor is charged to 115 V and then quickly connected to a 225 mH inductor. Determine the frequency of oscillation. Determine the peak value of the current. Determine the maximum energy stored in the magnetic field of the inductor.
- A 5.00*10^-2 ohm square wire loop 30.0 cm on a side has its plane normal to a uniform magnetic field of magnitude B=4.0 T. If you pull two opposite sides of the loop away from each other, the other two sides automatically draw toward each other reducing the area enclosed by the loop. If the area is reduced to zero in a time of 0.30 s what is the average emf during this time interval? What is the average current during this time interval?A 185‑turn circular coil of radius 3.79 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 14.5 Ω resistor to create a closed circuit. During a time interval of 0.147 s, the magnetic field strength decreases uniformly from 0.537 T to zero. Find the energy ? in millijoules that is dissipated in the resistor during this time interval.A generator has a N = 220-turn coil with a radius of 5.03 cm. It rotates with a frequency of f = 27 times per second in a B = 1.33 T magnetic field. What is the maximum emf induced in the coil?
- A 9.00 - V battery is connected to a coil which has a self-inductance of 125 mH and a resistance of 5.00 Ω. At what rate is energy being stored in the magnetic field of the coil when the current in the circuit is 0.500 Amps? Hint: Apply conservation of energy.Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A current of 7.00 A in one is switched off in 1.30 ms, inducing a 3.00 V emf in the other. What is their mutual inductance (in mH)?A 5-turn conducting loop with a radius of 3.0 cm with axis of rotation in the plane of the paper spins at 60 revolutions per second in a magnetic field of 0.50 T that is perpendicular to the paper. The maximum emf generated is: 0.14 V 8.3 V 28 V 2.7 V 10.5 V