Multiple Choice
A -2C charge lies at rest. (a) What is the potential difference between point A, which is 1.5m from the charge, and point B, which is 4m from the charge? (b) What would the work on a 4C charge be to move it from A to B?
25. Electric Potential
Relationships Between Force, Field, Energy, Potential
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Point A is at and point B is at . A proton moves past point A at , what is its speed when it reaches point B?
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Verified step by step guidance1
Identify the initial and final electric potentials: Point A is at -25 V and Point B is at 400 V.
Calculate the change in electric potential energy as the proton moves from point A to point B. Use the formula: ΔU = q * ΔV, where q is the charge of the proton (1.6×10^-19 C) and ΔV is the change in potential (V_B - V_A).
Determine the initial kinetic energy of the proton using the formula: KE_initial = 0.5 * m * v^2, where m is the mass of the proton (1.67×10^-27 kg) and v is the initial speed (3.5×10^5 m/s).
Apply the conservation of energy principle: the initial kinetic energy plus the initial potential energy equals the final kinetic energy plus the final potential energy. Set up the equation: KE_initial + U_initial = KE_final + U_final.
Solve for the final speed of the proton at point B using the equation: KE_final = 0.5 * m * v_final^2, and rearrange to find v_final. Use the known values to calculate the final speed.
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