# What is the derivative of voltage with respect to time?

This only applies to Alternating Current. It is the inverse of the sin (or cos) wave form between the peak voltages.

Because AC voltage varies in a sinusoidal waveform, the derivative at any point is the cosine of the value.

By signing up, you agree to our Terms of Service and Privacy Policy

Well, when I think of derivative with respect to time I think of something changing and when voltage is involved I think of capacitors.

If you derive with respect to time you get the current through the capacitor for a varying voltage:

(I hope it helped)

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of voltage with respect to time is called the rate of change of voltage over time, commonly referred to as voltage's time derivative. Mathematically, it is denoted as dV/dt, where V represents voltage and t represents time. In physics and electrical engineering, this quantity describes how quickly the voltage changes with respect to time, indicating the instantaneous rate of change of voltage.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you minimize and maximize #f(x,y)=(x-2)^2-(y-3)^2/x# constrained to #0<xy-y^2<5#?
- How do you use linear approximation about x=100 to estimate #1/sqrt(99.8)#?
- How do you find the linearization at a=16 of #f(x) = x^(1/2)#?
- How do you use a linear approximation or differentials to estimate #(8.06)^(⅔)#?
- A conical paper cup is 10 cm tall with a radius of 30 cm. The cup is being filled with water so that the water level rises at a rate of 2 cm/sec. At what rate is water being poured into the cup when the water level is 9 cm?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7