For a long ideal solenoid having a circular cross-section, the magnetic field strength within the solenoid is given by the equation B(t) = (2.66)t T, where t is time in seconds. If the induced electric field outside the solenoid is 0.345 V/m at a distance of 9.1 m from the axis of the solenoid, find the radius of the solenoid (in cm). cm
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- In a solenoid of length 1 = 10 cm with 3707 turns per meter the current creates the field B = 70 µT. What will be the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid? Assume that solenoid is in vacuum, use μo = 4 x 10-7 H/m and give your answer in milli-amperes (mA).In a solenoid of length 1 = 10 cm with 1941 turns per meter the current creates the field B = 70 µT. What will be the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid? Assume that solenoid is in vacuum, use μ = 4 x 10-7 H/m and give your answer in milli-amperes (mA). Answer: Choose...= 0.500 mm. The For a class demonstration, a professor needs to create a solenoid using copper wire with diameter d resistance of the solenoid needs to be 4.10 Q and the magnetic field of the solenoid with a current of 3.30 A should be 6.30 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10-8 0· m for the resistivity of copper.) (a) How many turns of wire does the professor need? turns (b) Determine the required length (in cm) of the solenoid. cm
- The latest specs you have been give is for a solenoid that will be operated by a 1,000 V power supply. The length of solenoid (in order to work for their application) must be exactly ℓ = 22.0 cm. A cylindrical core will be placed inside the solenoid with a radius of rs = 1.40 cm (luckily, this core has the same permeability of free space as air does). The largest possible magnetic field must be able to be created inside the solenoid, but the thinnest copper wires that the Asia allow you to use are AWG 36 (which corresponds to a wire diameter of dw = 0.127 mm. ). What is the maximum magnitude of the magnetic field (in T) that can be created in the solenoid? (Note: the resistivity of copper is 1.7 ✕ 10−8 Ω · m. ) T29.28. A long, thin solenoid has 900 turns per meter and radius 250 cm. The current in the solenoidis increasing at a uniform rate of 60.0 A/s. What is the magnitude of the induced electric field at apoint near the center of the solenoid and (a) 0.5 cm from the axis of the solenoid; (b) 1.0 cm from theaxis of the solenoid?For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.50 and the magnetic field of the solenoid with a current of 2.90 A should be 5.90 × 10-² T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p 1.70 x 10-8.m for the resistivity of copper.) (a) How many turns of wire does the student need? turns (b) Determine the required length (in cm) of the solenoid. cm
- In a solenoid in vacuum of length l = 10 cm with 2052 turns per meter the current creates the field B = 70 µT. What will be the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid? Assume µo = 4Tt × 10¬7 H/m and give your answer in milli-amperes (mA).For a solenoid in vacuum of length l = 10 cm with 10* turns per meter calculate the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid. Take vacuum permeability Ho = 4x x 10-7 H/m. Provide your answer in SI units. Answer:A long thin solenoid has 779 turns per meter and radius 2.00cm. The current in the solenoid is increasing at a rate 23 A/s. What is the magnitude of the induced Electric field (in V/m) at a point near the center of the solenoid and 1.3 cm from its axis?
- A long thin solenoid has 808 turns per meter and radius 3.00cm. The current in the solenoid is increasing at a rate of 60A/s. What is the magnitude of the induced electric field (in V/m) at a point near the center of the solenoid and 0.8cm from its axis?For a class demonstration, a professor needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.10 Q and the magnetic field of the solenoid with a current of 2.10 A should be 6.10 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10-80-m for the resistivity of copper.) (a) How many turns of wire does the professor need? turns (b) Determine the required length (in cm) of the solenoid. Nond Help? cm Rond 16A long cylindrical solenoid with 100 turns/cm has a radius of 1.6 cm. Assume that the magnetic field it produces is parallel to its axis and is uniform in its interior. (a) What is its inductance per meter of length? (b) If the current changes at the rate of 13 A/s, what emf is induced per meter?