Advertisements
Advertisements
प्रश्न
Give the relation between electric field and electric potential.
Advertisements
उत्तर
Consider a positive charge q kept fixed at the origin. To move a unit positive charge by a small distance dx in the electric field E, the work done is given by dW = -E dx. The minus sign implies that work is done against the electric field. This work done is equal to an electric potential difference. Therefore,
dW = dV.
(or) dV = -Edx
Hence E = `"dV"/"dx"`
The electric field is the negative gradient of the electric potential.
APPEARS IN
संबंधित प्रश्न
Which charge configuration produces a uniform electric field?
A thin conducting spherical shell of radius R has a charge Q which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is
What are the properties of an equipotential surface?
What is meant by electrostatic energy density?
Obtain an expression for potential energy due to a collection of three point charges which are separated by finite distances.
Draw the free body diagram for the following charges as shown in the following figure.
Draw the free body diagram for the following charges as shown in the following figure.
The electrostatic potential is given as a function of x in figure (a) and (b). Calculate the corresponding electric fields in regions A, B, C and D. Plot the electric field as a function of x for figure (b).
A spark plug in a bike or a car is used to ignite the air-fuel mixture in the engine. It consists of two electrodes separated by a gap of around 0.6 mm gap as shown in the figure.
To create the spark, an electric field of magnitude 3 x 106Vm-1 is required,
- What potential difference must be applied to produce the spark?
- If the gap is increased, does the potential difference increase, decrease or remains the same?
- Find the potential difference if the gap is 1 mm.
A point charge of +10 µC is placed at a distance of 20 cm from another identical point charge of +10 µC. A point charge of -2 µC is moved from point a to b as shown in the figure. Calculate the change in potential energy of the system? Interpret your result.
