As a negative charge moves in the direction of the electric field its electric p
ID: 1496275 • Letter: A
Question
As a negative charge moves in the direction of the electric field its electric potential decreases. As a positive charge moves in the direction of the electric field its speed increases. Electric potential is a scalar quantity. The electric field along a coordinate direction is proportional to the derivative of the electric potential with respect to that direction. A capacitor stores energy in a gravitational field. As the distance between the plates of a capacitor increase, its capacitance increases. As the voltage on a capacitor increases, the charge on the capacitor decreases. In simple harmonic motion, the restoring force must be proportional to the displacement. In simple harmonic motion, acceleration is a maximum at the midpoint of the trajectory, where the displacement from equilibrium is zero. The frequency of oscillation of a pendulum can be increased by increasing its length.Explanation / Answer
19.) False. We know that E = -dv/dx, hence we can say that the potential decreases in the direction of the electric field. Therefore, the potential increases for a negative charge.
20.) True. As the positive charge moves in the direction of the electric field, its potential decreases, hence the kinetic energy would increase for the net mechanical energy to increase, hence velocity increases.
21.) True. Electric potential has magnitude but no direction, hence it is a scalar quantity.
22.) True. Electric field is given as E = -dv/dx hence it is proportional to the derivative of the potential with respect to that direction.
23.) False. The capacitor stores energy in a form electric potential energy.
24.) False. The capacitance is indirectly proportional to the distance between the plates, hence it decreases with increase in energy.
25.) False. Charge on a capacitor is given as Q = VC hence when the voltage increases, charge increases.
26.) True. The force needs to proportional to displacement for the motion to be simple harmonic.
27.) False. The acceleration is maximum at that maximum displacement from the equilibrium.
28.) False. The frequency for a pendulum is given as: f = (1/2pi)sqrt(g/L)
Hence, the frequency of the pendulum decreases with increase in length.
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