Electrostatic Potential and Capacitance

The expression for Electric potential due to a point charge at a distance 'r' from it is____________

• $\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r}$

• $\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q}{r}$

• $\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r^2}$

• $\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q\ }{r^2}$

Tags

NGSS.HS-PS2-4

Electric potential at a point due to a dipole is

• $\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^3}$

• $\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^2}$

• $\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r}$

• $\frac{1}{4πε_o}\ p⃗.r⃗$

The relation between electric field and electric potential is

• $E=dV.dr$

• $V=dE.dr$

• $V=-\frac{dE}{dr}$

• $E=-\frac{dV}{dr}$

A region of space contains a uniform electric field, directed toward the right, as shown in the figure. Which statement about this situation is correct?

• The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest.
• The potential at points A and B are equal, and the potential at point C is lower than the potential at point A.
• The potential at all three locations is the same.
• The potentials at points A and B are equal, and the potential at point C is higher than the potential at point A.

Tags

NGSS.HS-PS2-4

NGSS.HS-PS3-5

The magnitude of electric potential is ______ at an infinite distance.

• 0

• negative infinity

• positive infinity

• 200

Tags

NGSS.HS-PS2-4

NGSS.HS-PS3-5

What is the electrostatic potential at equatorial point of a dipole?

• twice of the axial point

• half of the axial point

• zero

• not defined

The electric potential in a region of space is given by the function V=3x² + 2y³. what is the x-component of the electric field in this area?

• 6x
• -6x
• x³
• -x³

Tags

NGSS.HS-PS2-4

Two charges +q and -3q are placed at a distance of 1m apart. The points on the line joining two charges, where electric potential is zero, is :

• 0.25 m, 0.5 m

• 1 cm , 0.50 m

• 0.35 cm , 24 cm

• none of these

A positive charge  $Q$  is placed very close to the positive plate of a parallel plate capacitor that produces an electric field  $E$ . Once released, the positive charge reaches the negative plate a distance  $d$  away with a kinetic energy of

•  $Ed$  

•  $QEd$  

•  $2Ed$  

•  $2QEd$  

Tags

NGSS.HS-PS3-5

A student generates an equipotential map of a point charge and notices the electric potential decreases the further away from the charge. From only this information the student can determine which of the following?

• The charge is positive

• The charge is negative

• The magnitude of the charge

• Nothing, more information is required