One method for measuring the magnetic susceptibility of a sampleuses an LC circuit consisting of an air-core solenoid and acapacitor. The resonant frequency of the circuit without the sampleis determined and then measured again with the sample inserted inthe solenoid. Suppose you have a solenoid that is 4.60 cm long, is3.20 mm in diameter, and has 360 turns of fine wire. You have asample that is inserted in the solenoid and completely fills theair space. Neglect end effects.
(a) Calculate the inductance of the empty solenoid.
______ µH
(b) What value for the capacitance of the capacitor should youchoose so that the resonance frequency of the circuit without asample is exactly 6.0000 MHz?
________ pF
(c) When a sample is inserted in the solenoid, you determine thatthe resonance frequency drops to 5.9988 MHz. Use your data todetermine the sample's susceptibility.
One method for measuring the magnetic susceptibility of a sampleuses an LC circuit consisting of an air-core solenoid and acapacitor. The resonant frequency of the circuit without the sampleis determined and then measured again with the sample inserted inthe solenoid. Suppose you have a solenoid that is 4.60 cm long, is3.20 mm in diameter, and has 360 turns of fine wire. You have asample that is inserted in the solenoid and completely fills theair space. Neglect end effects.
(a) Calculate the inductance of the empty solenoid.
______ µH
(b) What value for the capacitance of the capacitor should youchoose so that the resonance frequency of the circuit without asample is exactly 6.0000 MHz?
________ pF
(c) When a sample is inserted in the solenoid, you determine thatthe resonance frequency drops to 5.9988 MHz. Use your data todetermine the sample's susceptibility.
