A point charge produces an electric flux of $+235 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}$ through a gaussian sphere of radius $45.0 \mathrm{~cm}$ centered on the charge. What is the magnitude and sign of the charge?

The total electric flux from a cubical box of side $29.0~\text{cm}$ is $2.15~\frac{\text{Nm}^2}{\text{C}}$. What is the charge of the box?

The total electric flux from a cubical box 28.0 cm on a side is $1.45 \times 10^{3} \mathrm{N} \cdot \mathrm{m}^{2} / \mathrm{C}$. What charge is enclosed by the box?

A uniform electric field of magnitude $6.4 \times 10^2 \mathrm{~N} / \mathrm{C}$ passes through a circle of radius $13 \mathrm{~cm}$. What is the electric flux through the circle when its face is $(c)$ parallel to the field lines?

A uniform electric field of magnitude $5.8 \times 10^2 \mathrm{~N} / \mathrm{C}$ passes through a circle of radius $13 \mathrm{~cm}$. What is the electric flux through the circle when its face is $(b)$ at $45^{\circ}$ to the field lines?

A uniform electric field of magnitude $6.4 \times 10^2 \mathrm{~N} / \mathrm{C}$ passes through a circle of radius $13 \mathrm{~cm}$. What is the electric flux through the circle when its face is $(a)$ perpendicular to the field lines?

A solid metal sphere of radius $3.00 \mathrm{~m}$ carries a total charge of $-4.80 \mu \mathrm{C}$. What is the magnitude of the electric field at a distance from the sphere's center of (d) $8.00 \mathrm{~m}$?

A solid metal sphere of radius 3.00 m carries a total charge of $-3.50 \mu \mathrm{C}$. What is the magnitude of the electric field at a distance from the sphere's center of 3.10 m.

(a) At what temperature does water boil at an altitude of 1500 m (about 5000 ft) on a day when atmospheric pressure is $8.59 \times 10^{4} \mathrm{N} / \mathrm{m}^{2}?$ (b) What about at an altitude of 3000 m (about 10,000 ft) when atmospheric pressure is $7.00 \times 10^{4} \mathrm{N} / \mathrm{m}^{2}?$

(II) At what angle will the electrons in the said Examples leave the uniform electric field at the end of the parallel plates (point P in Fig. mentioned)? Assume the plates are 4.9 cm long and $E=5.0 \times 10^3 \mathrm{~N} / \mathrm{C}$. Ignore fringing of the field.

The Sun radiates energy at a rate of about $4 \times 10^{26} \mathrm{~W}$. Estimate how long the Sun could last if it radiated constantly at this rate.

Given that the human body is mostly made of water, estimate the total amount of positive charge in a $65-\mathrm{kg}$ person.

The Sun radiates energy at a rate of about $4 \times 10^{26} \mathrm{~W}$. At what rate is the Sun's mass decreasing?

The Sun radiates energy at a rate of about $4 \times 10^{26} \mathrm{W}$. At what rate is the Sun's mass decreasing?