A toroidal solenoid of mean radius 20 cm has 4000 turns of wire wound on a ferromagnetic core of relative permeability 800. Calculate the magnetic field in the core for a current of 3 A passing through the coil. How does the field change, when this core is replaced by a core of Bismuth ?
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- A thin 50 cm (0.5 m) long metal bar with mass 0.75 kg rests on (but is not attached to) two metallic supports in a uniform 0.45 T magnetic field as shown in the figure. A battery and a 25 Ω resistor in series are connected to the supports.Find the highest voltage the battery can have wihtout breaking the circuit and the initial acceleration of the bar if the resistor decreased resistance to 2 ohms.The superconducting magnet of an MRI scanner requires 810 A of current to create a magnetic field of 4.5 T in the center of its solenoid coil with a 0.65 m radius. If the solenoid is 1.9 m long, how many loops of wire does it have? N =A square coil and a rectangular coil are each made from the same length of wire. Each contains a single turn. The long sides of the rectangle are twice as long as the short sides. Find the ratio Tsquare/Trectangle of the maximum torques that these coils experience in the same magnetic field when they contain the same current. Number i Units
- QUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zeroPlease asapA 148 turn circular coil of radius 54 cm is placed in the earth's magnetic field 0.4 G, such that its magnetic dipole moment makes an angle 34° with the field as shown in the picture. If the current in the circular coil is 80 A, then calculate the following: a) The magnetic dipole moment of the coil in Am2 = b) The torque on the current loop measured in Nm = c) The potential energy of the current loop in joules =
- 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 4.8 × 10-5 T?A charge moves to the right and then enters a region with a uniform magnetic field as shown. If the charge follows along path 3 , what is the sign of the charge? The charge is positive The charge is negative The charge is neutral