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Determine the number of electrons on the sphere carrying a charge of -62.0 μC.
A rubber eraser is used to clean a small glass dry-erase board, which subsequently accumulates a positive charge of +15 nC. What charge-carrying particles are being transferred between the eraser and the board during this process? Also, which of the two - the eraser or the board - is the recipient of these charge-carrying particles?
A plastic rod with a net charge of -16.0 nC is brought close to a neutral metal plate. As a result, the plastic rod net charge has become -12.0 nC. Determine the number of charged particles transferred to the metal plate.
We have three particles. One has a +3 nC charge located at the origin (point A), and another has a -5 nC charge (at point B), 3 cm away from the origin on the +x-axis. Find the distance from the origin to a point between the two particles at which a particle with a -1 nC charge experiences zero net force.
A 20 g non-conducting cuboid lying at rest on a 25 degrees incline has a total charge of 8.0 × 10-6 C. The friction coefficients between the cuboid and the incline are µs = 0.15 and µk = 0.080. If the setup lies in a horizontal electric field, what least electric field strength is required to keep the cuboid from sliding?
Calculate the time taken by a hydrogen ion (H+) that is initially at rest in a uniform electric field of magnitude E = 1.25 kN/C to cover 50.0 mm.
A metal rod of length p carries a uniform +q charge along its length. What will be the approximate representation of its surrounding electrical field lines while considering points very far from the rod up to 5 multiplied by its length?
Two opposite and equal electric charges are placed on the x-axis, separated by a distance of 2.5 mm, to form an electric dipole. The center of the dipole is placed at the origin of the xy-axis. The magnitude of the electric field at point A (xA= 13 cm, yA= 0 cm) from the dipole's center is 3.5 × 105 N/C. Determine the magnitude of the electric charges, in μC.
A metal spherical ball of radius 5 cm carries a charge of 50 nC. Determine the electric field (E) at a distance of 0.01 cm from the outer surface of the ball.
A uniform magnetic field that has a magnitude strength value of about 7 x 10⁻³ T passes through a rectangle that has the following dimensions: a width that is equal to 12 cm and a height that is equal to 18 cm. What would be the magnetic flux in the face of this rectangle at an angle equivalent to 60 degrees about these field lines?
A bar of length 1.5L lies parallel to the x-axis. The origin (of the x-axis) is located at 0.75L, measured from the left end. The bar has a varying charge density λ= c|x|, where the constant c has units C/m2. Express c in terms of the total charge on the bar, Q, and the bar's length L.
On an unknown planet, there is an electric field of about 180 V/m directed upwards from its surface. Two similar metal spheres having mass 'm' equal to 0.75 kg are released from a height 'h' of 2.5 m above the surface. One of the spheres is negatively charged with q1 equal to -300 μC, while the other sphere is positively charged with q2 equal to +300 μC. Determine the difference in their velocities when they touch ground using principles of conservation of mechanical energy. Assume that the gravitational acceleration on the planet is 3.7 m/s2.
An electron is in an excited state in a Bohr model of the hydrogen atom. At this state, the electron is located at a distance of 0.076 nm from the nucleus. Determine the potential energy of the electron at this distance.
In a photoelectric device, electromagnetic radiation moves electrons from the cathode to the anode, doing 5.3 × 10 -19 J of work per electron. Calculate the emf (give magnitude only) created in the device.
Suppose there are two point charges, one with a positive charge of +30 nC and the other with a negative charge of -20 nC. A distance of 6.0 cm separates these charges. An electron is initially at rest and released from a position equidistant between the charges. Calculate the speed of the electron after it has travelled a distance of 2.0 cm.
Consider a cosmic ray particle located in deep space is moving at 2.0×107 m/s and has a kinetic energy of 1140 eV. Based on the provided information, identify what type of particle this is and what its mass value will be.
A conducting solid sphere (radius ri) with charge -q is located at the center of a conducting hollowed sphere (radius ro) with charge +q. Non-conducting supports are used to hold and maintain the solid sphere at the center of the hollowed sphere. Taking potential to be zero at r = ∞, determine the electric potential (Vr) at i) inside the solid sphere ii) between the two spheres iii) Outside the hollowed sphere. Hint: Potential at a point is the sum of potentials from each sphere.
Two hollowed metallic spheres centered at the same point form a spherical capacitor. The space between the two spheres is filled with a dielectric material. R1 - R2 = 1.5 mm, where R1 and R 2 are radii of the outer and inner spheres, respectively. The capacitor has a capacitance of 0.500 nF. Find values of R1 and R2.
You are experimenting in a laboratory to study the behavior of a parallel-plate capacitor. The capacitor has a plate area of 1.5m2 and a plate separation of 2.0mm. It is connected to a 50-V battery, which charges it. Your objective is to determine the charge accumulated on the capacitor, the strength of the electric field between the plates, the capacitance of the system, and the energy U0 stored in the capacitor.
A researcher is developing a highly sensitive air-filled parallel-plate capacitor with a capacitance of 0.8 F for use in a precision measurement device. To keep the design compact, the researcher decides to limit the plate area to 1.5 cm². What should be the separation between the plates to achieve this capacitance? Is such a design practically feasible?
A regenerative braking system in an electric vehicle charges a 0.050 μF capacitor to a maximum voltage of 30 kV.
i. Determine the energy stored in the capacitor when it is fully charged.
ii. During braking, the motor is powered by 20% of the stored energy for 5.0 μs. Calculate the power output of the motor during this time.
As an engineer analyzing a multilayer ceramic capacitor with a maximum voltage rating of 200 V and a capacitance of 2.0 μF, you need to estimate the dielectric constant of the ceramic material. The capacitor has sheet dimensions of 10.0 mm by 15.0 mm, a total thickness of 8.0 mm (excluding the outer insulator), and a dielectric strength of 40 × 106V/m.
Consider two capacitors: the first capacitor has a capacitance (C1) of 850 nF, and the second capacitor has a capacitance (C2) of 400 nF. Initially, these capacitors are charged individually using a 14 V battery. The capacitors are isolated from the battery, maintaining the charge on the capacitor plates unchanged. Next, the two capacitors are connected in parallel, with the positive plate of each capacitor connected to the negative plate of the other capacitor. Determine the charge on each capacitor and the voltage difference across the capacitors when they are connected in parallel.