A current I = 3 A is passed through a wire. A second wire of length L = 1 m is moving with velocity v= 285.4 m s¨¹ at a distance d=1 cm perpendicular to the magnetic field generated by the first wire (see sketch below). Calculate the current in the circuit that includes the second wire and a stationary piece of wire (green in the sketch below). Take the resistance in the circuit to be 10 Q2 (Ohm). Consider the magnetic field B to be constant over the range of motion of the second wire (i.e. d » 1 ). For the permeability of vacuum take μo = 1.3×10-6 NA². Provide your answer in milliamperes (mA). Enter your answer in the box below. Wire 1 Wire 2 اد Wire loop

A metal bar of mass 500 g slides outward at a constant speed of 1.5 cm/s over two parallel rails separated by a distance of 30 cm which are pail of a U-shaped conductor. There is a uniform magnetic field of magnitude 2 T pointing out of the page over the entire area. The railing and metal bar have an equivalent resistance of 150 . (a) Determine the induced current, both magnitude and direction, (b) Find the direction of tire induced current if the magnetic field is pointing into the page, (c) Find the direction of the induced current if the magnetic field is pointed into the page and the bar moves inwards.

A current of 1.2 A is flowing in a coaxial cable whose outer radius is five times its inner radius. What is the magnetic field energy stored in a 3.0-m length of the cable?

How can you decide if a wire is infinite?

Two long, parallel wires are hung by cords of length 5.0 cm, as shown in the accompanying figure. Each wire has a mass per unit length of 30 g/m, and they carry the same current in opposite directions. What is the current if the cords hang at 6.0° with respect to the vertical?

A solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current through the solenoid is 10 A, the magnetic field inside it is 2.0 T. For this current, what is the permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?

A flip coil is a relatively simple device used to measure a magnetic field, It consists of a circular coil of N turns wound with fine conducting wire. The coil is attached to a ballistic galvanometer, a device that measures the total charge that passes through it. The coil is placed in a magnetic field B such that its face is perpendicular to the field. It is then flipped through 180°, and tire total charge Q that flows through the galvanometer is measured. (a) If the total resistance of tire coil and galvanometer Is R, what is the relationship between B and Q? Because the coil is very small, you can assume that Bis uniform over it. (b) How can you determine whether or not tire magnetic field is perpendicular to the face of the coil?

Calculate the magnetic induction, B, of a wire that carries a current of 100 amps, at a distance of 0.01m meter away from the longitudinal axis of the wire.

Tutorial Exercise In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.495 cm thick is positioned along an east-west direction. Assume n = 8.46 × 1028 electrons/m³ and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the -12 conductor results in a Hall voltage of 4.37 x 10 V, what is the magnitude of the Earth's magnetic field at this location? Part 1 of 3 - Conceptualize From this Table of Approximate Magnetic Field Magnitudes, the magnitude of the Earth's magnetic field is about 50 μT. We expect a result with this order of magnitude. Part 2 of 3 - Categorize We will find the magnitude of the magnetic field from the equation for the Hall effect voltage. Part 3 of 3 - Analyze Hall effect voltage is given by the following. IB nqt' AVH where I is the current, n is the volume density of electrons, B is the magnitude of the magnetic field, and t is the thickness of the copper bar. Solving…

A circular loop made of copper wire with a diameter 0.96 mm is placed in a uniform magnetic field 0.274 T with field lines directed perpendicular to the loop plane. The shape of the loop is changed from circular to a square one. Find the total charge that flows in the conductor if the radius of the circular loop is 0.1 m. Use the copper resistivity 1.68E-8 Ohm⋅m.