272233
Three Charges \(2 q,-q\) and \(-q\) lie at vertices of a triangle. The value of \(E\) and \(V\) at centroid of triangle will be-
1 \(\mathrm{E} \neq 0\) and \(\mathrm{V} \neq 0\)
2 \(\mathrm{E}=0\) and \(\mathrm{V}=0\)
3 \(E \neq 0\) and \(V=0\)
4 \(\mathrm{E}=0\) and \(\mathrm{V} \neq 0\)
Explanation:
(c) Net E F I at \(G \neq 0\) Net Potential at \(G\)
\(v=\frac{K 2 Q^{\circ}}{\mathbf{r}}-\frac{K Q}{\mathbf{r}}-\frac{\mathrm{KQ}}{\mathbf{r}}=0\)
NCERT Page-54/N-48|CBSE Sample 2021-2022
Electrostatic Potentials and Capacitance
272234
Four point charges \(-Q,-q, 2 q\) and \(2 Q\) are placed, one at each corner of the square. The relation between \(Q\) and \(q\) for which the potential at the centre of the square is zero is
1 \(Q=-q\)
2 \(Q=-\frac{1}{q}\)
3 \(Q=q\)
4 \(Q=\frac{1}{q}\)
Explanation:
(a) Let the side length of square be ' \(a\) ' then potential at centre \(O\) is
\(\begin{aligned}
V & =\frac{k(-Q)}{\left(\frac{a}{\sqrt{2}}\right)}+\frac{k(-q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 Q)}{\frac{\pi}{\sqrt{2}}}=0 \text { (Given) } \\
& =-Q-q+2 q+2 Q=0=Q+q=0 \Rightarrow Q=-q
\end{aligned}\)
NCERT Page-54/N-48
Electrostatic Potentials and Capacitance
272232
Charges are placed on the vertices of a square as shown.
Let \(\vec{E}\) be the electric field and \(V\) the potential at the centre.
If the charges on \(A\) and \(B\) are interchanged with those on D and C respectively, then
272233
Three Charges \(2 q,-q\) and \(-q\) lie at vertices of a triangle. The value of \(E\) and \(V\) at centroid of triangle will be-
1 \(\mathrm{E} \neq 0\) and \(\mathrm{V} \neq 0\)
2 \(\mathrm{E}=0\) and \(\mathrm{V}=0\)
3 \(E \neq 0\) and \(V=0\)
4 \(\mathrm{E}=0\) and \(\mathrm{V} \neq 0\)
Explanation:
(c) Net E F I at \(G \neq 0\) Net Potential at \(G\)
\(v=\frac{K 2 Q^{\circ}}{\mathbf{r}}-\frac{K Q}{\mathbf{r}}-\frac{\mathrm{KQ}}{\mathbf{r}}=0\)
NCERT Page-54/N-48|CBSE Sample 2021-2022
Electrostatic Potentials and Capacitance
272234
Four point charges \(-Q,-q, 2 q\) and \(2 Q\) are placed, one at each corner of the square. The relation between \(Q\) and \(q\) for which the potential at the centre of the square is zero is
1 \(Q=-q\)
2 \(Q=-\frac{1}{q}\)
3 \(Q=q\)
4 \(Q=\frac{1}{q}\)
Explanation:
(a) Let the side length of square be ' \(a\) ' then potential at centre \(O\) is
\(\begin{aligned}
V & =\frac{k(-Q)}{\left(\frac{a}{\sqrt{2}}\right)}+\frac{k(-q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 Q)}{\frac{\pi}{\sqrt{2}}}=0 \text { (Given) } \\
& =-Q-q+2 q+2 Q=0=Q+q=0 \Rightarrow Q=-q
\end{aligned}\)
NCERT Page-54/N-48
Electrostatic Potentials and Capacitance
272232
Charges are placed on the vertices of a square as shown.
Let \(\vec{E}\) be the electric field and \(V\) the potential at the centre.
If the charges on \(A\) and \(B\) are interchanged with those on D and C respectively, then
272233
Three Charges \(2 q,-q\) and \(-q\) lie at vertices of a triangle. The value of \(E\) and \(V\) at centroid of triangle will be-
1 \(\mathrm{E} \neq 0\) and \(\mathrm{V} \neq 0\)
2 \(\mathrm{E}=0\) and \(\mathrm{V}=0\)
3 \(E \neq 0\) and \(V=0\)
4 \(\mathrm{E}=0\) and \(\mathrm{V} \neq 0\)
Explanation:
(c) Net E F I at \(G \neq 0\) Net Potential at \(G\)
\(v=\frac{K 2 Q^{\circ}}{\mathbf{r}}-\frac{K Q}{\mathbf{r}}-\frac{\mathrm{KQ}}{\mathbf{r}}=0\)
NCERT Page-54/N-48|CBSE Sample 2021-2022
Electrostatic Potentials and Capacitance
272234
Four point charges \(-Q,-q, 2 q\) and \(2 Q\) are placed, one at each corner of the square. The relation between \(Q\) and \(q\) for which the potential at the centre of the square is zero is
1 \(Q=-q\)
2 \(Q=-\frac{1}{q}\)
3 \(Q=q\)
4 \(Q=\frac{1}{q}\)
Explanation:
(a) Let the side length of square be ' \(a\) ' then potential at centre \(O\) is
\(\begin{aligned}
V & =\frac{k(-Q)}{\left(\frac{a}{\sqrt{2}}\right)}+\frac{k(-q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 q)}{\frac{\pi}{\sqrt{2}}}+\frac{k(2 Q)}{\frac{\pi}{\sqrt{2}}}=0 \text { (Given) } \\
& =-Q-q+2 q+2 Q=0=Q+q=0 \Rightarrow Q=-q
\end{aligned}\)
NCERT Page-54/N-48
Electrostatic Potentials and Capacitance
272232
Charges are placed on the vertices of a square as shown.
Let \(\vec{E}\) be the electric field and \(V\) the potential at the centre.
If the charges on \(A\) and \(B\) are interchanged with those on D and C respectively, then
