7. An air-filled long solenoid has a turn density of 1000 turns/m, a radius of 1.50 cm and carries a current of 0.0700 A that is increasing at a rate of 1.50 A/s. (a) Find the magnitude of the magnetic field inside the solenoid. (b) Find the induced electric field at a point 0.500 cm from the solenoid axis. (c) Determine the magnitude of the Poynting vector at this location.
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Q: magnetic field of the solenoid
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- 2. A long solenoid has a diameter of 12.0 cm. When a current i exists in its windings, a uniform magnetic field of magnitude B = 30.0 mT is produced in its interior. By decreasing i, the field is cause to decrease at the rate of 6.50 mT/s. Calculate the magnitude of the induced electric field (a) 2.20 cm and (b) 8.20 cm from the axis of the solenoid. (reference: problem 37, chapter 30, fundamentals of physics)Near San Francisco, where the vertically downward component of the earth's magnetic field is 5.7 x 10-5 T, a car is traveling forward at 30 m/s. The width of the car is 2.3 m. Find the emf induced between the two sides of the car. If positive charge accumulates on the driver's side, the enter the emf as a positive number. If negative charge accumulates on the driver's side, the enter the emf as a negative number. Number i Units29. The length of the solenoid is 85.0cm and the cross-section is 17.0cm^2 ?, and 6.60A of current flows through the conductor of the solenoid with 1210 turns. (a) Find the energy density of the magnetic field inside the solenoid. (b) What is the total magnetic energy stored inside the solenoid? (Ignore edge effects.)
- A very long solenoid having a square cross section 5.0 cm on a side is connected to a power supply that drives enough current through the solenoid to create a 0.20-T magnetic field in its interior. Imagine that we surround this solenoid with a circular loop 10 cm in diameter whose resistance is 0.015 Ω and which is oriented with its face perpendicular to the solenoid’s axis. Suppose that when we switch off the power supply, it takes 30 ms for the current flowing through the solenoid to drop to zero. About how much current flows in the loop during this time?Please helpCalculate the Hall voltage induced on a patient's heart while being scanned by an MRI unit. Approximate the conducting path on the heart wall by a wire 8.00 cm long that moves at 10.0 cm/s perpendicular to a 1.45 T magnetic field. mV