The force on a negative charge is in the direction opposite to the electric field, hence towards the positive charge.

First, find the equivalent resistance R_eq = 1/(1/4 + 1/6) = 2.4Ω. Then, I = V/R_eq = 12V/2.4Ω = 5 A.

Using Ohm's law, I = V/R = 15V/5Ω = 3A.

The voltage drop across the resistor is equal to the battery voltage in a simple circuit: 9V.

Using Ohm's Law, V = I * R = 2A * 6Ω = 12V.

Using Ohm's Law, V = I * R = 3A * 6Ω = 18V.

Power (P) can be calculated using P = I^2 * R = (5A)^2 * 10Ω = 25 * 10 = 250W.

Power (P) can be calculated using the formula P = I^2 * R = (5A)^2 * 2Ω = 25W.

Inside the loop, the magnetic field lines are nearly uniform and parallel, indicating a strong and consistent magnetic field.

The magnetic field lines around a circular loop of wire are concentric circles centered on the axis of the loop.

Kinetic Energy is proportional to the square of the speed. If speed is doubled, KE increases by a factor of 2^2 = 4.

Kinetic Energy is proportional to the square of the speed. If speed is doubled, KE increases by a factor of 2^2 = 4.

Kinetic Energy (KE) = 1/2 * m * v^2 = 1/2 * 75 kg * (15 m/s)^2 = 8437.5 J.

Distance = speed * time = 10 m/s * 15 s = 150 m.

The moment of inertia I of a disc about its axis is (1/2)MR². Therefore, angular momentum L = Iω = (1/2)MR²ω.

The disk has a smaller moment of inertia than the ring, resulting in greater acceleration down the incline.

A diverging lens always forms a virtual and upright image when the object is placed in front of it.

Using the formula α = (ω - ω₀)/t, we have α = (0 - 10)/5 = -2 rad/s², so the deceleration is 2 rad/s².

Using the formula α = (ω - ω₀)/t, we have α = (0 - 30 rad/s) / 10 s = -3 rad/s².

Rotational kinetic energy K.E. = (1/2)Iω² = (1/2)(2)(10)² = 100 J.

Acceleration = Force / Mass = 100 N / 50 kg = 2 m/s².

Using F = ma, a = F/m = 100 N / 50 kg = 2 m/s².

Using F = ma, a = F/m = 30 N / 3 kg = 10 m/s².

Using F = ma, a = F/m = 50 N / 25 kg = 2 m/s².

Using F = ma, a = F/m = 50 N / 25 kg = 2 m/s².

A negative focal length indicates that the lens is a concave lens.

Power (P) of a lens is given by P = 1/f (in meters). Here, f = 15 cm = 0.15 m, so P = 1/0.15 = +6.67 D.

According to the law of reflection, the angle of reflection is equal to the angle of incidence. Therefore, the angle of reflection is also 30 degrees.

The magnetic dipole moment (μ) is defined as the product of the current (I) flowing through a loop and the area (A) of the loop, μ = I × A.

A magnetic field is produced by moving electric charges, such as those in a current-carrying wire.