Consider a linear long current source lying on the x – y plane parallel to x axis lo- cated at y = -d. A current of I is flowing in e direction on the current loop. A loop is also located at the x- y plane with its center at the origin. The loop has a radius of a. Write the expression for mutual inductance of the described system. |
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- A circular loop of flexible iron wire has an initial circumference of, but its circumference is decreasing at a constant rate of due to a tangential pull on the wire. The loop is in a constant, uniform magnetic field oriented perpendicular to the plane of the loop of magnitude 1.Find the emf induced in the loop, at the instant when have passed. 2.Find the direction of the induced current in the loop, as viewed looking along the direction of the magnetic field inside the loop Clockwise or counterclockwise?A 10.00 μF capacitor C is initially charged to a voltage V of 10.00 (V). It is then connected in series with an inductor L. Charge and current oscillations ensue. (a) What is the total energy U of the circuit? (b) If the maximum current in the inductor is Im = 0.500 (A), then what is the inductance L? What is the charge Q on the positive plate of the capacitor when the current reaches its maximum value Im? (c) What is the angular frequency of the charge oscillations?a) A long solenoid of radius a, is driven by an alternating current, so that the field inside is sinusoidal: A circular loop of wire, of radius a/2 and resistance R, is placed inside the solenoid, and coaxial cable with it. Find the current induced in the loop, as a function if time. b) Why do we use round shaped coils (I.e. Round shaped turns in the coils) in both the primary and secondary circuits [If those coils were not round shaped, what would be the problem]? *** You should draw figures to make your explanations strong.
- Consider two long parallel wires each with radius R, whose centers are at a distance d apart. The wires carry equal currents in opposite directions. Neglecting the flux within the wires themselves, calculate the inductance perunit length ( L / l ) of this pair of wires.Imagine that we have a large loop sitting flat on the screen with a radius = 58.7 cm that has a current 0.7 A in it and sitting inside of this loop is a second, smaller loop of radius 46.1 cm, also sitting flat on the screen. The centers of both loops are both located at the origin, and so they are both centered on each other. What is the Mutual Inductance of these loops? Enter in your answer in micro-HA small rectangular loop of wire is located close to a long straight wire initially carrying a current I = 104 A (see figure below). Find the average emf induced in the loop if the current in the wire reverses direction in a time interval of 1/143 s. magnitude direction
- a.) A conducting rod slides at a speed of 7.50 m/s along metal rails through a mag-netic field of 0.800 T, as shown. Find the emf induced in the rod. b) How strong is the force needed to keep the rod moving at the given speed, if the resis-tance of the circuit is a constant 1.50 Ω? The spacing between the rails is 0.500mMutual Inductance An infinite straight wire carrying current I is placed to the left of a equilateral triangular loop of wire with height w, as shown. The loop has an electrical resistance R. W. (a) Determine the mutual inductance of the system. (b) If the current in the long wire is I(t) = I, cos wt, what is the induced current in the loop?A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the right. The self inductance of the loop is negligible. Сhoose true false When entering the field the coil experiences a magnetic force to the left. When leaving the field the coil experiences a magnetic force to the right. Upon entering the field, a counterclockwise current flows in the loop. Upon leaving the field, a counterclockwise current flows in the loop.
- A spatially uniform magnetic field points in the +z-direction and is increasing in strength at the rate of 1.55 T/ms. A. Find the the induced emf in a square conducting loop 18.4 cm on a side lying in the x–y plane, with resistance 18.1 Ω B. Find the current in that square loopNeeds Complete typed solution with 100 % accuracy.An inductor consists of 100 turns of wire tightly wound about an insulating core. It is attached to a power supply and when the current through it is increased from 0 to 5 A in 3, s an induced emf of 5 V is measured. Find the inductance of this device and the magnetic flux and the energy stored in the magnetic field when the current is held steady at 5 A.