In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude $|q|$ but whose signs may be different.

The potential at point $P$ has the same value $\phi=2|q| / 4 \pi \varepsilon_{0} d$ in both cases (the reference position is infinity). In which case is the electric field magnitude $|\vec{E}|$ larger at point $P$ ?
A) Case $A$
B) Case $B$
C) $|\vec{E}|$ as the same nonzero value in both cases.
D) $|\vec{E}|$ is zero in both cases.
E) The answer depends on information not specified.

Question

In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude $|q|$ but whose signs may be different.

The potential at point $P$ has the same value $\phi=2|q| / 4 \pi \varepsilon_{0} d$ in both cases (the reference position is infinity). In which case is the electric field magnitude $|\vec{E}|$ larger at point $P$ ?
A) Case $A$ 
B) Case $B$ 
C) $|\vec{E}|$ as the same nonzero value in both cases. 
D) $|\vec{E}|$ is zero in both cases. 
E) The answer depends on information not specified.

Quizplus · Accepted Answer

The Answer of In each of the situations shown below, the gray balls represent charged particles whose charges all have the same magnitude $|q|$ but whose signs may be different.

The potential at point $P$ has the same value $\phi=2|q| / 4 \pi \varepsilon_{0} d$ in both cases (the reference position is infinity). In which case is the electric field magnitude $|\vec{E}|$ larger at point $P$ ?
A) Case $A$ 
B) Case $B$ 
C) $|\vec{E}|$ as the same nonzero value in both cases. 
D) $|\vec{E}|$ is zero in both cases. 
E) The answer depends on information not specified.

In Each of the Situations Shown Below, the Gray Balls ∣q∣|q|∣q∣

In Each of the Situations Shown Below, the Gray Balls $|q|$