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What is the general equation for the voltage across a capacitor after a time of two time constants when charging from zero voltage?
The equation of a capacitor is ...
dv/dt = i/c
... meaning that the rate of change of voltage with respect to time is proportional to current and inversely proportional to capacitance.
If you build a circuit with a resistor r in series with a capacitor c charging to an ultimate voltage V from an initial voltage v=0 at t=0, then you can solve the differential equation (solution steps not included) and produce a generalized equation ...
vt = V (1 - e(-t/rc) )
... In the case of two time constants, you reach a value of 86% of charge voltage.
What else can I help you with?
What is meant by the capacitance of a capacitor?
I'm not going to give you the mathematical description, just the general description. A capacitor is designed so that it can absorb a certain amount of electricity, in the way a sponge can absorb water. The specific amount that it can absorb is called its capacitance. This is a variation of the word capacity.
How do you discharge high dc voltage capacitor?
When a capacitor is powered off in an energized circuit, the capacitor still stores a certain amount of electricity. When there are other loads or components in the circuit, they will slowly discharge, or they can be quickly discharged by short-circuiting with small resistors or wires (at low voltage). When the capacitor discharges, the two poles of the capacitor respectively carry a certain amount of charge, and the outside world and the capacitor form a closed loop (generally, the closed loop does not include a power supply). The excess electrons (negative charges) approach the positive electrode of the capacitor to form a current, so that the charges at both ends of the capacitor are neutralized. When the neutralization is completed, the electric field between the two electrodes of the capacitor disappears. However, this is in an ideal situation. The amount of terminal charge is exponentially neutralized towards zero, but not zero. Discharge requirements of capacitors After the capacitor is disconnected from the bus, it must be discharged through a discharge resistor or a special voltage transformer. Discharge should be performed between the lead wires of the capacitor and between the lead wires and the casing. The capacitor can be grounded after the capacitor is discharged. Before working on the capacitor, be sure to conduct a test discharge. This discharge is to place the discharge rod on the terminal of the lead wire of the capacitor for a period of time. Even if both sides of the capacitor device are grounded, in order to prevent residual charge on the capacitor, a test discharge must be performed, and each group of capacitors connected in parallel must be discharged. Special care should be taken when conducting inspection discharge of capacitors removed due to faults. Due to the damaged capacitor, the general grounding device may not function as a ground discharge due to a partial disconnection. If the capacitor device has an interlock device, it should be considered that only after the entire device is grounded, the small door of the capacitor bank protective fence can be opened. We're JYH HSU(JEC) Electronics Ltd (or Dongguan Zhixu Electronic Co., Ltd.), an electronic components manufacturer. You may google "JYH HSU" to find our website.
How capacitor works in electrical fan?
in a ceiling fan the capacitor is used to give the starting torque to motor for run. because we need a rotating type of magnetic field to the motor to run. once the motor run it become running even we disconnect the capacitor. by using the capacitor we produce the electrica difference(phase angle) between the two current taking by capacitor and the motor winding.
What capacitor size do need for a 5kva generator?
The capacitor size for a 5 kVA generator typically depends on the power factor and the specific application. A general rule of thumb is to use about 0.5 to 1 microfarad (μF) of capacitance per kVA for power factor correction. Therefore, for a 5 kVA generator, you might consider a capacitor size ranging from 2.5 μF to 5 μF. However, it's essential to consult with a professional or refer to the generator's specifications for precise requirements.
How do you determine capacitor's condition using multimeter for small capacitance?
You can use a multimeter to check the condition of a capacitor by using its highest range for measuring resistance. That range applies the highest voltage - often 9 volts - to the capacitor.If the capacitor is of a polarized type - such as electrolytic - you must be sure to apply the multimeter's test leads to it the correct way round so as to apply the voltage in the right direction so that the capacitor can charge-up.If the capacitor is shorted internally the multimeter will always show a low resistance.If the capacitor is not shorted internally and is in good condition you will see a low resistance at first but, as it charges-up from the applied voltage, you should see the resistance rise in a steady manner until it registers near to infinity.If the capacitor is failing the resistance will stay fairly low because the charge will not be held. If the capacitor is in good condition the charge should be held for several hours and the capacitor can be discharged (by shorting its wires) and then recharged repeatedly.Warning Never ever try to test a capacitor whilst it is still connected into a circuit because: * it must always be discharged safely before you try to test it because you could receive a bad electrical shock if the capacitor is still holding a charge from being in-circuit. Wear rubber gloves on both hands and short its leads away from your eyes because, if it was holding a high voltage charge, there may be a big spark!* other circuit components may get damaged, especially if they are semiconductors;* other circuit components may prevent the capacitor from being charged-up.
What is the general solution of a differential equation?
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
The general equation for a straight line is?
Ax+b=y, where A and b are constants.
How do you find the discriminant of a equation?
The general form of a quadratic equation is ax2 + bx + c = 0 where a is not zero, a, b and c are constants. The discriminant is b2 - 4ac
What is the general form of linear equation in two variable?
ax + by + c = 0 where x and y are the variables, a, b and c are numerical constants.
What type of equation results into a straight line graph?
A linear equation! The general form, in n-dimensional space, is a1x1 + a2x2 + ...+ anxn = c where the ai and c are constants and the xi are variables.
What is the equation for a parabola?
The general equation for a parabola is y = ax^2 + bx + c, where a, b, and c are constants that determine the shape, orientation, and position of the parabola.
Which type of current capacitor can block and which type of current capacitor can store?
In an electronic circuit a capacitor can be used to block direct current. In general a capacitor stores electric charge. The charge in a capacitor is the voltage times the capacitance and that is also equal to the charging current times the time (all quantities in SI units - seconds, volts, amps, coulombs, farads)
Can you use a 25K capacitor instead of a 2.2K capacitor?
In general, no. You need to use the correct capacitor as designed for the circuit.
How do you write an equation of the line?
The general form of an equation, in n dimensional space, is y = a0 + a1x1 + a2x2 + ... + anxn where the ai are constants, and the xi are orthogonal unit vectors. In 2 dimensions, this reduces to y = a0 +a1x1 which can be rewritten as y = mx + c
The equation AX plus BY is the general equation for a?
AX + BY is not an equation .AX + BY + C = 0is the general equation for a straight line.
What metal is inside general electric Pyranol capacitor?
pcb
Why quadratic equation is called quadratic?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0
