C = 5.0 uF R= 200 N Ve = (1.20 V) cos (2500 rad/s)t
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A 200 Ω resistor is connected in series with a 5.0 µF capacitor. The voltage across the resistor is vR =( 1.20 V) cos [(2500 rad/s)t]. (a) Derive an expression for the circuit current.
(b) Determine the capacitive reactance of the capacitor.
(c) Derive an expression for the voltage across the capacitor.

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- At what frequency will a 4.80-μF capacitor have a reactance of 7.50 kΩ?A (2.884x10^1)-µF capacitor is connected to an AC source of EMF with a frequency of (3.2050x10^2) Hz and a maximum EMF of (3.00x10^1) V. What is the maximum current expressed in A and with three significant figures.A 52.0-uF capacitor is connected to a 46.0-N resistor and a generator whose rms output is 30.0 V at 60.0 Hz. (a) Find the rms current in the circuit. Your response differs from the correct answer by more than 10%. Double check your calculations. A (b) Find the rms voltage drop across the resistor. V (c) Find the rms voltage drop across the capacitor. V (d) Find the phase angle for the circuit. The voltage lags behind the current by
- The time constants for a series RC circuit with a capacitance of 5.80 µF and a series RL circuit with an inductance of 1.20 H are identical. (a) What is the resistance R in the two circuits? Ω (b) What is the common time constant for the two circuits? SAn alternating emf source with a variable frequency fa is connected in series with a 43.02 resistor and a 19.0 μF capacitor. The emf amplitude is 11.0 V. Consider a phasor diagram for phasor VR (the potential across the resistor) and phasor Vc (the potential across the capacitor). (a) At what driving frequency fa do the two phasors have the same length? At that driving frequency, what are (b) the phase angle in degrees, (c) the angular speed at which the phasors rotate, and (d) the current amplitude? (a) Number i 216.4 (b) Number i 45 (c) Number i 1361.6 (d) Number i 158 Units Units Units Units Hz (degrees) rad/s mAA 2.04 kN resistor is connected to an AC voltage source with an rms voltage of 230 V. HINT (a) What is the maximum potential difference across the resistor (in V)? V (b) What is the maximum current through the resistor (in A)? A (c) What is the rms current through the resistor (in A)? A (d) What is the average power dissipated by the resistor (in W)?