hw23 electric fields and equipotential surfaces. the dashed lines in the diagram represent cross - sections…

hw23 electric fields and equipotential surfaces. the dashed lines in the diagram represent cross - sections of equipotential surfaces drawn in 1 v increments. (figure 1) part a what is the work done by the electric force to move a 1 c charge from a to b? express your answer in joules. view available hint(s) part b what is the work done by the electric force to move a 1 c charge from a to d? express your answer in joules. view available hint(s)

hw23 electric fields and equipotential surfaces. the dashed lines in the diagram represent cross - sections of equipotential surfaces drawn in 1 v increments. (figure 1) part a what is the work done by the electric force to move a 1 c charge from a to b? express your answer in joules. view available hint(s) part b what is the work done by the electric force to move a 1 c charge from a to d? express your answer in joules. view available hint(s)

Answer

Explanation:

Step1: Recall work - potential formula

The work done (W) by the electric force in moving a charge (q) between two points with potential difference (\Delta V) is given by (W = q\Delta V).

Step2: Determine potential difference for Part A

For moving from point (A) to (B), the potential at (A) is (V_A=- 1V) and at (B) is (V_B = 0V). So, (\Delta V_{AB}=V_B - V_A=0 - (-1)=1V), and (q = 1C). Then (W_{AB}=q\Delta V_{AB}=1C\times1V = 1J).

Step3: Determine potential difference for Part B

For moving from point (A) to (D), the potential at (A) is (V_A=-1V) and at (D) is (V_D=-2V). So, (\Delta V_{AD}=V_D - V_A=-2V-(-1V)= - 1V), and (q = 1C). Then (W_{AD}=q\Delta V_{AD}=1C\times(-1V)=-1J).

Answer:

Part A: 1 J Part B: - 1 J