A solenoid that is 122 cm long has a radius of 2.76 cm and a winding of 1280 turns; it carries a current of 4.34 A. Calculate the magnitude of the magnetic field inside the solenoid.
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A solenoid that is 122 cm long has a radius of 2.76 cm and a winding of 1280 turns; it carries a current of 4.34 A. Calculate the magnitude of the magnetic field inside the solenoid.
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- A 150-turn solenoid carries a current of 12 A. The radius of the solenoid is 0.050 m; and its length is 0.18 m. Determine the magnetic flux through the circular cross-sectional area at the center of the solenoid.Consider a 1000-turn solenoid with a radius of 1.0 cm and a length of 50 cm. A current of 0.25 A flows through it. Use Ampere’s law to derive the formula for the magnetic field inside the solenoid (approximating it as an infinite solenoid). Then calculate the energy stored in the magnetic field.A long closely wound solenoid with a magnetic field of 0.0380 T draws a current of 9.0 A. What number of turns must the solenoid have?
- You wish to construct a solenoid with a diameter of 2.00 cm that will produce a magnetic field of 6.20 × 10¬2 T at its center when a current of 14.0 A is passing through the coils. You want the resistance of the coil wire to be 5.60 . The resistivity of the wire used is 1.70 x 10-8 N:m (at 20.0°C), and you are using a wire that has a cross sectional area of 3.14 × 10¬8 m². (Note that this solenoid may not necessarily be so tightly wound that the adjacent loops of wire will touch each other. Nonetheless, you may assume that it behaves like an ideal solenoid.) Determine the following. (a) number of turns needed on the solenoid turns (b) length of the solenoidA 26.0-cm long solenoid 1.25 cm in diameter is to produce a field of 4.45 mT at its center. How much current should the solenoid carry if it has 920 turns of the wire?A 150-turn solenoid carries a current of 12 A. The radius of the solenoid is 0.050 m; and its length is 0.18 m. Determine the magnetic flux through the circular cross-sectional area at the center of the solenoid.
- 2. A 0.750 m long solenoid, 0.024 m in diameter, has 9600 turns of wire. A current of 18 A flows in the solenoid. A particle with a charge of 3.0 x 10-10 C inside the solenoid travels perpendicular to the axis of the solenoid with a speed of 5.7 x 10° m/s. Find the magnitude of the magnetic force acting on the particle. (hint: find the magnetic field strength inside the solenoid first) solenoidPLEASE ANSWER BOTH 1. It is desired to construct a solenoid that will have a resistance of 4.80 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 4.35 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.) (a) the number of turns of wire needed to build the solenoid. _______ turns (b) the length the solenoid should have ________ cm 2. A wire with a weight per unit length of 0.077 N/m is suspended directly above a second wire. The top wire carries a current of 29.8 A and the bottom wire carries a current of 59.2 A. Find the distance of separation between the wires so that the top wire will be held in place by magnetic repulsion. _________ mmTo produce a magnetic field of 0.0020 T, what current is required in a 500-turn solenoid that is 25 cm long? ○ 80 A ○ 1.6 A ○ 16 A ○ 160 A 8 A ○ 0.8 A
- A solenoid of length 2.00 cm and radius 0.750 cm has 49 turns. If the wire of the solenoid has 1.95 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: T Ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: J/m3 What is the total magnetic energy inside the solenoid? total magnetic energy: JA single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.240 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a 15.0 A. (a) Find the force on each side of the loop. magnitude × What is the direction of the magnetic field inside a solenoid. μN direction directed away from the center ▾ (b) Find the magnitude of the torque acting on the loop. This is the maximum torque that can be exerted on the current loop in this field. Think carefully about the orientation of the loop with respect to the field. N. mThe 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 =