In a certain region of space, the electric field is zero. From this, we can conclude that the electric potential in this region is:

Constant

Zero

Positive

Negative

Video Solution

Text Solution

Verified by Experts

The correct Answer is:A

$E = \frac{- d v}{d r}, E = 0 \Rightarrow \frac{d v}{d r} = 0 \Rightarrow V =$ constant

Updated on:21/07/2023

Class 12 PHYSICS ELECTRIC CHARGES AND FIELDS

Knowledge Check

Question 1 - Select One
In a certain region of space the electric potential V is known to be constant. Is the electric field in this region (a) positive (b) zero ,or (c ) negative ?
AAlso constant
BPositive
CNegative
DZero
Question 1 - Select One
In a certain $0.1 m^{3}$ of space, electric potential is found to be 5 V throughout. What is the electric field in this region ?
A $50 V / m$
B $z e r o$
C $0.5 V / m$
DNone of these
Question 1 - Select One
In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is
A $\frac{∣ ∣ \to E ∣ ∣}{∣ ∣ \to B ∣ ∣}$
B $\to E \times \to B$
C $\frac{∣ ∣ \to B ∣ ∣}{∣ ∣ \to E ∣ ∣}$
D $\to E . \to B$
Question 1 - Select One
In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is
A $\frac{| E |}{| B |}$
B $E \times B$
C $\frac{| B |}{| E |}$
D $E . B$
Question 1 - Select One
Assertion: If electric potential remains constant along a path in electric field, then the electric field must be zero.
Reason: The negative of an electric potential gradient in a direction is equal to the component of electric field in that direction.
AIf both assertion and reason are correct and reason is a correct explanation of the assertion.
BIf both assertion and reason are correct but reason is not the correct explanation of assertion.
CIf assertion is correct but reason is incorrect.
DIf assertion is incorrect but reason is correct.
Question 1 - Select One
A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The $y - and z - c o m p o \neq n t s$ of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

A $10 V$
B $40 V$
C $- 10 V$
D $30 V$
Question 1 - Select One
In the region where electric field $E = 0$ , the relation between electirc potential $V$ and distance $r$ is
A $V \propto r$
B $V \propto 1 / r$
C $V \propto r^{2}$
D $V =$ constant

In a certain region of space, the electric field is zero. From this, we can conclude that the electric potential in this region is:

The correct Answer is:A

$E = \frac{- d v}{d r}, E = 0 \Rightarrow \frac{d v}{d r} = 0 \Rightarrow V =$ constant

Knowledge Check

In a certain region of space the electric potential V is known to be constant. Is the electric field in this region (a) positive (b) zero ,or (c ) negative ?

In a certain $0.1 m^{3}$ of space, electric potential is found to be 5 V throughout. What is the electric field in this region ?

In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is

In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is

Assertion: If electric potential remains constant along a path in electric field, then the electric field must be zero.
Reason: The negative of an electric potential gradient in a direction is equal to the component of electric field in that direction.

A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The $y - and z - c o m p o \neq n t s$ of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

In the region where electric field $E = 0$ , the relation between electirc potential $V$ and distance $r$ is

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In a certain region of space, the electric field is zero. From this, we can conclude that the electric potential in this region is:

The correct Answer is:A

E=−dvdr,E=0⇒dvdr=0⇒V= constant

Knowledge Check

In a certain region of space the electric potential V is known to be constant. Is the electric field in this region (a) positive (b) zero ,or (c ) negative ?

In a certain 0.1m3 of space, electric potential is found to be 5 V throughout. What is the electric field in this region ?

In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is

In a certain region of space electric field E and magnetic field B are perpendicular ot each other and an electron enters region perpendicular to the direction of B and E both and moves undeflected, then velocity of electron is

Assertion: If electric potential remains constant along a path in electric field, then the electric field must be zero. Reason: The negative of an electric potential gradient in a direction is equal to the component of electric field in that direction.

A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The y−andz−compo≠nts of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

In the region where electric field E=0, the relation between electirc potential V and distance r is

Similar Questions

Recommended Questions

$E = \frac{- d v}{d r}, E = 0 \Rightarrow \frac{d v}{d r} = 0 \Rightarrow V =$ constant

In a certain $0.1 m^{3}$ of space, electric potential is found to be 5 V throughout. What is the electric field in this region ?

Assertion: If electric potential remains constant along a path in electric field, then the electric field must be zero.
Reason: The negative of an electric potential gradient in a direction is equal to the component of electric field in that direction.

A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The $y - and z - c o m p o \neq n t s$ of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

In the region where electric field $E = 0$ , the relation between electirc potential $V$ and distance $r$ is