There point charges are placed at following points on x-axis; \(3\mu C\) at \(x=0\), \(-4\mu C\) at \(x=50cm\) and \(-5\mu C\) at \(x=120cm\). Calculate: the force on \(-4\mu C\) charge.
Ans: \(F_{net}=0.799N\).
Three point charges each of \(+q C\) are kept at the vertices of an equilateral triangle of side \(‘l’\). Determine: the magnitude and sign of the charge to be kept at its centroid so that charges at the vertices remains in equilibrium.
Ans: \(Q=\frac{-q}{\sqrt{3}}\).
Consider three charges \(q_{1}\), \(q_{2}\) and \(q_{3}\) each equal to the \(q\) at the vertices of an equilateral triangle of side \(L\). What is the force on the charge \(Q\) (with same sign as of q) placed at the centroid of the triangle?
Ans: \(F_{net}=0\left(Zero\right)\).
Charges of \(+5\mu C\), \(+10\mu C\), \(-10\mu C\) are placed in air at the corners A, B and C of an equilateral triangle ABC, having each side equal to \(5cm\). Determine: the resultant force on the charge at A?
Ans:\(F_{net}=180N\) and \(\beta=60^{o}\).
Point charges having values \(+q\), \(+q\), \(-q\) and \(-q\) are placed at the four corners A,B,C and D of a square having side a. Calculate: the force on charge Q placed at the center of the square.
Ans: \(F=\frac{1}{4\pi \epsilon_{o}}\frac{4\sqrt{2}qQ}{a^{2}}\) along ON.
Three point charges of \(+2\mu C\), \(-3\mu C\) and \(-3\mu C\) are kept at the vertices of an equilateral triangle of side \(20cm\) as shown in below figure. What would be the sign and magnitude of the charge to be placed at the midpoint (M) of side BC so that the charge at A remains in equilibrium?
An infinite number of charges each of equal to \(4\mu C\) are placed along x-axis at \(x=1m\), \(x=2m\), \(x=4m\), \(x=8m\) and so on. What will be the total force on the charge \(1 C\) placed at the origin?
Ans: \(F_{total}=\left(4.8\times10^{4}\right)N\).
Consider: the charges \(+q\), \(+q\) and \(-q\) at the vertices of an equilateral triangle as shown in below figure. What is the force on each charge?
Ans: \(F_{1}=\frac{1}{4\pi\epsilon_{o}}\frac{q^{2}}{l^{2}}=F\), \(F_{2}=F\) and \(F_{3}=\sqrt{3}F\).
