What is the magnitude and direction of the electric force on an electron in a uniform electric field of strength $3500 \mathrm{~N/C}$ that points due east?

When an ion accelerates through a potential difference of $-1880 \mathrm{~V}$, its electric potential energy increases by $6.02 \times 10^{-16} \mathrm{~J}$. What is the charge on the ion?

A computer monitor accelerates electrons and directs them to the screen in order to create an image. If the accelerating plates are $1.05 \mathrm{~cm}$ apart, and have a potential difference of $25,500 \mathrm{~V}$, what is the magnitude of the uniform electric field between them?

A proton has an initial speed of $5.5 \times 10^5 \mathrm{~m} / \mathrm{s}$. (a) What potential difference is required to bring the proton to rest? (b) What potential difference is required to reduce the initial speed of the proton by a factor of $2$ ? (c) What potential difference is required to reduce the initial kinetic energy of the proton by a factor of $2$?

A Charged Battery A typical $12-V$ car battery can deliver $2.0 \times 10^5 \mathrm{C}$ of charge. If the energy supplied by the battery could be converted entirely to kinetic energy, what speed would it give to a $1600-\mathrm{kg}$ car that is initially at rest?

A typical 12-V car battery can deliver $7.5 \times 10^{5} \mathrm{C}$ of charge. If the energy supplied by the battery could be converted entirely to kinetic energy, what speed would it give to a 1400-kg car?

How is the strength of an electric field indicated with electric field lines?

The electrons in a TV picture tube are accelerated from rest through a potential difference of 25 kV. What is the speed of the electrons after they have been accelerated by this potential difference?

State clearly the difference between: (a) electric potential and electric field, (b) electric potential and electric potential energy.

Is electric potential the same as electric potential energy? Explain

A positive point charge $q$, with mass $m$, is released at a distance $d$ from a fixed positive point charge $Q$. How fast is the charge $q$ moving when the distance has grown to $3$ times the initial value?

What must be the distance between point charge

$$q_1 = 26.0 μC$$

and point charge

$$q_2 = -47.0 μC$$

for the electrostatic force between them to have a magnitude of 5.70 N?

Determine whether the integral is convergent or divergent. Evaluate that is convergent.

$\int_{-\infty}^0 \frac{1}{3-4 x} d x$Determine whether the integral is convergent or divergent. Evaluate that is convergent.

$$\int_{-\infty}^0 \frac{1}{3-4 x} d x$$

Determine whether the integral is convergent or divergent. Evaluate that is convergent.

$\int_2^{\infty} e^{-5 p} d p$Determine whether the integral is convergent or divergent. Evaluate that is convergent.

$$\int_2^{\infty} e^{-5 p} d p$$