An ac generator with emf em sin vdt, where m e=25.0 V and vd 377 rad/s, is connected to a 4.15 mF capacitor. (a)What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c)When the emf of the generator is -12.5 V and increasing in magnitude, what is the current?

An RLC circuit consists of a 1.34 2 resistor, a 8.44 nF capacitor, and a 5.55 mH inductor. Initially, the voltage across the capacitor is 1.46 V, and no current is flowing in the circuit. How many oscillations occur as the charge amplitude on the capacitor decays to 67.4% of its initial value? It is acceptable to let w' = w. i oscillations (include decimals if needed to keep the appropriate number of significant digits in your answer)

A series RLC circuit has a peak voltage of 1i v and a peak current of 2.00 A. If the current lags the voltage by 35.0°, what is the average power of the circuit?

An 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 mA

TC 5. A circuit connected to an ac generator has & = 31.4sin ( wt 4. --). With w = 350 rad/s. The 0.622 sin (wt -=).a) At what time does the generator reach maximum (ot current is given by I = %3D 4 emf for the first time? B) What time does it reach the max current c)If the circuit has only one element is that a capacitor inductor or resistor, explain d) Find the value of that element( Ans: a)6.7 ms b0 11.2 ms c) Inductor d) 144 mH ins prt sc delete f12 f10 A fs f6 17

A 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)?

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.

An AC source i(t)=(20.0[mA])cos((10.0[rad/s])t) is connected to a 100[μF] capacitor , what is the potential through the capacitor?