The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C...

The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (Ω). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs, C), so in this case Kirchhoff's Law gives

RI + Q/C =E(t)

But I = dQ/dt, so we have

R(dQ/dt) + 1/C (Q) = E(t)

Suppose the resistance is 10 Ω, the capacitance is 0.05 F, and a battery gives a constant voltage of 60 V.

If the initial charge is Q(0) = 0 C, use Euler's method with step size 0.1 to estimate the charge, Q after half a second. (Round your answer to two decimal places.)
Q(0.5) = ???

Expert Solution

Colby Messinger answered 2 years ago

What is the equivalent capacitance for the circuit of the figure? (Figure 1)

Part A What is the equivalent capacitance for the circuit of the figure? (Figure 1)Express your answer to two significant figures and include the appropriate units. Part B How much charge flows through the battery as the capacitors are being charged? Express your answer to two significant figures and include the appropriate units.

The figure below shows an RC circuit. The capacitor is initially uncharged. At t = 0,...

The figure below shows an RC circuit. The capacitor is initially uncharged. At t = 0, the switch is closed to point a. Find the time it takes for the capacitor voltage to reach one third the battery voltage. Use the figure above. In the figure, the switch has been at point a for a long time and the capacitor voltage is equal to the battery voltage. At t = 0, the switch is moved to point b. Find the...

علي غسان اتصالات اسيا: 1. The source in the circuit provides the circuit with electromotive force....

علي غسان اتصالات اسيا: 1. The source in the circuit provides the circuit with electromotive force. * Current moves from a point of high potential energy to a point of low potential Inert gas white, glowing, or luminous with intense heat 4. Electronic equipment and transformers may also use a special electrical grade of paper. * 5. In solutions and gases, the electric current is carried by the movements of electrons. * 6. Absolute zero is the lowest temperature theoretically...

If you increase the potential difference or electromotive force across a resistance in a circuit the...

If you increase the potential difference or electromotive force across a resistance in a circuit the current flowing through that device will___. Question 8 options: increase. decrease. remain the same. get scared and go home.. In a parallel circuit, if one bulb blows, the total current will ____________. Question 12 options: increase decrease remain the same A 10 ohms, 22 ohms, and 100 ohms resistor are hooked in series. What is the total resistance? Question 18 options: 132 volts 132...

An LC circuit has an inductor with inductance 0.05 H and a capacitor with capacitance 5...

An LC circuit has an inductor with inductance 0.05 H and a capacitor with capacitance 5 μF. All of the energy is stored in the capacitor at t=0, and the total charge is 3×10-5 C. (a) What is the angular frequency of the oscillations in this circuit? (b) Find a mathematic equation for q(t). (c) What is the maximum current flow through the circuit? (d) How long does it take the capacitor to become completely discharged?

Question 1 A series RLC circuit has a capacitor with a capacitance of 36.0 ?F ,...

Question 1 A series RLC circuit has a capacitor with a capacitance of 36.0 ?F , an inductor with an inductance of 0.300 H and a resistor with a resistance of 65.0 ?. The circuit is attached to a source that has a rms voltage of 52.0 V and a frequency of 85.0 Hz. What is the peak current, the phase angle and the average power loss? The Peak Current: The Phase Angle: The Average Power Loss:

Consider an RC circuit with resistance R and capacitance C. The circuit is stimulated with a...

Consider an RC circuit with resistance R and capacitance C. The circuit is stimulated with a pulse of amplitude A and width T. The purpose of this study is to understand what happens to the impulse response, capacitor voltage, and resistor voltage for various resistor values: 600 ?, 1000 ?, and 1200 ?. The name of the MATLAB script will be called project2a. Excite the circuit with a rectangular pulse voltage of amplitude=5 V and pulse width of 10 ms....

A resistor of resistance R and a capacitor of capacitance C are connected in series to...

A resistor of resistance R and a capacitor of capacitance C are connected in series to an EMF of voltage E. A switch is set to the open position and the capacitor is initially uncharged. The switch is then closed. Show that when the capacitor charges that half of the energy drawn from the EMF is dissipated in the resistor and that half of the energy is stored in the capacitor.

The capacitor in the circuit shown in (Figure 1) is charged to an initial value Q....

The capacitor in the circuit shown in (Figure 1) is charged to an initial value Q. When the switch is closed, it discharges through the resistor. It takes 1.5 seconds for the charge to drop to 12Q. Part A How long does it take to drop from initial charge Q to 14Q? Express your answer to two significant figures and include the appropriate units.

A parallel plate air capacitor with a capacitance of C (0.02 F) is connected to a...

A parallel plate air capacitor with a capacitance of C (0.02 F) is connected to a 12V battery and charged. The capacitor is then disconnected from the battery and a dielectric with a dielectric constant of k (3.2) is inserted between the plates. How much energy will be stored in the capacitor after inserting the dielectric (6 points)? please explain step by step

Question