The armature of an AC generator consists of 10 turns of wires, with an area of 0.05 m2 each, having a total resistance of 15.02. The armature rotates in a uniform magnetic field of 0.75 T, at a constant frequency of 60 Hz with its axis of rotation perpendicular to the magnetic field. Find the (a) maximum induced electromotive force and (b) maximum induced current.
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- A coil has a radius of .351 m and 500 turns. From an original orientation with its plane perpendicular to the direction of a uniform magnetic field, the coil is rotated 1/4 of a revolution in 4.21 ms. Find the magnitude in Tesla, of the magnetic field strength required to induce an average emf of 9.53 kV.A 227-turn circular coil of radius 24 cm is perpendicular to a uniform magnetic field of 0.55 T. During a 0.75 s time interval, this field increases to 1.7 T. If the resistance of the coil is 11.5 ohm, calculate the average emf and current that flows in the coil during this interval. The average emf, Emf = 47.23 V Units V The average current, i = 5.5 x Units AAn 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 2.2 cm and it takes 0.425 s to move it into the field. (a) What average current is induced in the ring in A if its resistance is 0.0100 Ω? (b) What average power is dissipated in mW? (c) What magnetic field is induced at the center of the ring in T?
- An emf of 60.21 mV is induced in a 200-turn coil when the current is changing at the rate of 11.5 A/s. What is the magnetic flux through each turn of the coil at an instant when the current is 6 A?A 100-turn coil has a radius of 4.48 cm and a resistance of 26.6 Ω. The coil is in a uniform magnetic field that is perpendicular to the plane of the coil. What rate of change of the magnetic field strength will induce a current of 4.52 A in the coil?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.
- 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)?The 1300-turn coil in a dc motor has an area per turn of 2.4 × 10-2 m2. The design for the motor specifies that the magnitude of the maximum torque is 7.8 N·m when the coil is placed in a 0.19-T magnetic field. What is the current in the coil?A circuit is made with a resistor of resistance 25 ohms and a movable bar with length 15 cm moving to the left with speed 8 m/s. The whole circuit is in a magnetic field B = 1.5 T (into page). Use this set up to answer the following questions. What is the magnitude (no negative answers) of the power delivered to the resistor in watts? Answer to 4 decimal places.
- A 36.0 cm diameter loop of wire is initially oriented perpendicular to a 1.8 T magnetic field. The loop is rotated so that its plane is parallel to the field direction in 0.40 s. What is the average induced emf (in V) in the loop?A flat coil of wire consisting of 15 turns, each with an area of 53 cm², is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 3 T to 8 T in 3.4 s. If the coil has a total resistance of 0.3 ohms, what is the magnitude of the induced current in amperes?A generator consists of a 15-cm by 12-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit consisting of a 180 Ω resistor and a 35 μF capacitor.What is the average power delivered to the circuit?