Physics
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The metallic spiral binding (coil bind) of a book has 48 turns and is 297 mm long. Its diameter is 25 mm. If the binding acts like an ideal solenoid, determine its self-inductance if it is connected in a circuit.
A partially complete series LRC circuit is constructed from a 200 mH inductor and a 300 µF capacitor. When the resistor is plugged in, the angular frequency decreases by 20%. Determine the resistance that causes the change.
A series LRC circuit contains an inductor, L = 550 mH, a capacitor, C = 0.480 µF, and a resistor R. Determine its angular frequency when its resistor is replaced with a low-resistance wire.
A series LRC circuit is built from an inductor, L = 0.800 H, and a capacitor, C = 4.00 μF. Determine the resistance of a resistor that will cause critical damping.
A partially completed series LRC circuit has an inductor, L = 0.400 H, and a capacitor, C = 2.00 μF. Determine the angular frequency of the circuit before a resistor is added to the circuit.
An induction motor operates using 230 V/50Hz electricity. The motor takes in 12 A of electric current and expends electrical energy at a rate of 1000 W. If the power factor of the circuit is to be corrected to 1.0, what capacitor should be used?
Derive an equation for the frequency in a series RLC circuit that causes the greatest energy dissipation. Express the result in terms of ω0.
Derive an expression for the frequency at which an inductor in a series RLC circuit will experience the greatest potential difference.
A power source with an emf of 9.0 V is used to power a series RLC circuit. If R = 1.5 Ω, L = 1.5 µH and C = 0.5 µF, calculate the potential difference across the inductor when i) ω=ω₀ and ii) ω=ωL.