Exam 23: Electric Potential

A sphere with radius 2.0 mm carries +1.0 μC of charge distributed uniformly throughout its volume.What is the potential difference,V_B - V_A,between point B,which is 4.0 m from the center of the sphere,and point A,which is 9.0 m from the center of the sphere? =

A nonconducting sphere contains positive charge distributed uniformly throughout its volume.Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity.(There may be more than one correct choice.)

The figure shows two arcs of a circle on which charges +Q and -Q have been spread uniformly.What is the value of the electric potential at the center of the circle?

An alpha particle is a nucleus of helium.It has twice the charge and four times the mass of the proton.When they were very far away from each other,but headed toward directly each other,a proton and an alpha particle each had an initial speed of 0.0030c,where c is the speed of light.What is their distance of closest approach? Hint: There are two conserved quantities.Make use of both of them.(c = 3.00 × 10⁸ m/s,k = 1/4πε₀ = , ,

A negative charge,if free,will tend to move

Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm.The electric potential of the inner conductor,with respect to the outer conductor,is +600 V.An electron is released from rest at the surface of the outer conductor.What is the speed of the electron as it reaches the inner conductor? , ,

Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm.The electric potential of the inner conductor,with respect to the outer conductor,is +600 V.What is the maximum electric field magnitude between the cylinders? =

A negative charge is moved from point A to point B along an equipotential surface.Which of the following statements must be true for this case?

If the electric field is zero everywhere inside a region of space,the potential must also be zero in that region.

Four point charges of magnitude 6.00 μC and of varying signs are placed at the corners of a square 2.00 m on each side,as shown in the figure. (a)What is the electric potential (relative to infinity)at the center of this square due to these charges? (b)What is the magnitude of the electric field due to these charges at the center of the square?

An extremely long thin wire carries a uniform linear charge density of 358 nC/m.Find the potential difference between points 5.0 m and 6.0 m from the wire,provided they are not near either end of the wire.(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A conducting sphere 45 cm in diameter carries an excess of charge,and no other charges are present.You measure the potential of the surface of this sphere and find it to be 14 kV relative to infinity.(k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)The excess charge on this sphere is closest to

A conducting sphere of radius 20.0 cm carries an excess charge of +15.0 µC,and no other charges are present.(k = 1/4πε₀ = The potential (relative to infinity)due to this sphere at a point 12.0 cm from its center is closest to

A -3.0-μC point charge and a -9.0-μC point charge are initially extremely far apart.How much work does it take to bring the -3.0-μC charge to , and the to , ?

Two equal positive charges are held in place at a fixed distance.If you put a third positive charge midway between these two charges,its electrical potential energy of the system (relative to infinity)is zero because the electrical forces on the third charge due to the two fixed charges just balance each other.