# Does electric potential depend on Path?

Table of Contents

- 1 Does electric potential depend on Path?
- 2 What happens to the electric field and voltage when we increase the distance?
- 3 What is the relationship between voltage and electromagnetic field strength?
- 4 What happened to the voltage between the plates when the separation was increased?
- 5 What was the significance of Maxwell’s equations of electromagnetic field?

## Does electric potential depend on Path?

The potential energy for a positive charge increases when it moves against an electric field and decreases when it moves with the electric field; the opposite is true for a negative charge. Unless the unit charge crosses a changing magnetic field, its potential at any given point does not depend on the path taken.

**What is the relationship between voltage and electric field?**

Relationship between Voltage and Electric Field E=−ΔVΔs E = − Δ V Δ s , where Δs is the distance over which the change in potential, ΔV, takes place. The minus sign tells us that E points in the direction of decreasing potential.

**How does the electric field and electric potential vary with distance from a point charge?**

The electric field varies inversely as the square of the distance from the point charge.

### What happens to the electric field and voltage when we increase the distance?

If you increase the distance between the two plates electric field does not change just because electric field= surface charge density/ epsilon. so E=V/D gives increment in V as D increses so that electric field remain same.

**What does electric field depend on?**

The strength of the electric field depends on the source charge, not on the test charge. Because an electric field has both magnitude and direction, the direction of the force on a positive charge is chosen arbitrarily as the direction of the electric field.

**What does electric potential depend on?**

While electric potential energy has a dependency upon the charge of the object experiencing the electric field, electric potential is purely location dependent. Electric potential is the potential energy per charge.

#### What is the relationship between voltage and electromagnetic field strength?

Since the strength of the magnetic field is directly related to the current in the wire, the magnitude of the magnetic field would increase with an increase in voltage in the circuit.

**Does the voltage due to a point charge vary directly or inversely with distance from the charge?**

Careful observations show that the electrostatic force between two point charges varies inversely with the square of the distance of separation between the two charges.

**How electric field varies with distance?**

The strength of an electric field as created by source charge Q is inversely related to square of the distance from the source. This is known as an inverse square law. Electric field strength is location dependent, and its magnitude decreases as the distance from a location to the source increases.

## What happened to the voltage between the plates when the separation was increased?

The voltage increases when the plate separation is increased. It is most likely because of the distance. The charge has to cover a bigger distance if the distance is larger. This means that there will be a decrease in the total capacitance.

**Does voltage decrease with distance?**

Whether the voltage is high or low, the force will transfer the same way. But voltage will drop over distance. Larger conductors can be used to compensate for voltage drop over long distances. Circuits with higher voltage also diminish voltage drop by reducing the current, thereby reducing I-squared-R losses.

**What is Ampère’s circuital law for magnetic fields?**

The objective is to apply Ampère’s circuital law for magnetic fields to the path P, which goes around the wire in Figure 6A. This law (named in honour of the French physicist André-Marie Ampère) can be derived from the Biot and Savart equation for the magnetic field produced by a current.

### What was the significance of Maxwell’s equations of electromagnetic field?

The Maxwell equations for the electromagnetic field unified all that was hitherto known about electricity and magnetism and predicted the existence of an electromagnetic phenomenon that can travel as waves with the velocity of 1/ Square root of√ε0μ0 in a vacuum.

**How did Faraday prove the duality of electric and magnetic fields?**

Until Faraday showed that a time varying magnetic field generates an electric field, it was thought that the electric and magnetic fields were distinct and uncoupled. Faraday believed in the duality that a time varying electric field should also generate a magnetic field, but he was not able to prove this supposition.

**What is the penetration of electromagnetic waves in matter?**

In the case of electromagnetic waves, the penetration of the waves in matter varies, depending on the frequency of the radiation and the electric conductivity of the medium. The skin depth δ (which is the distance in the conducting medium traversed for an amplitude decrease of 1/ e, about 1/3) is given by