An infinite number of charges, each of magnitude q, are placed along x-axis at x = 1m, 2m, 4m, 8m, 16m and so on but the consecutive charges are of opposite sign starting with +q at x = 1m. A point charge `q_0` , kept at the origin, experiences a force of magnitude :

An infinite number of charges each equal to 4 muC are placed along X-axis at x = 1 m, x = 2 m, x = 4 m, x = 8 m and so on. Find the total force on a charge of 1C plaaced at the origin.

An infinite number of charges, each equal to Q=10 mu C are placed along the x-axis at x=1, 3, 9 …..m . Calculate the magnitude of electric field at x=0 if the consecutive charge have opposite signs.

An infinite number of charges, each of coulomb, are placed along x-axis at x = 1m, 3m, 9m and so on. Calculate the electric field at the point x = 0 due to these charges if all the charges are of the same sign.

An infinite number of charges each numerically equal to q and of the same sign are placed along the x-axis at x = 1, x = 2, x = 4, x = 8 and so on. Find electric potential at x=0 .

An infinite number of electric charges each equal to 5 nano-coulomb (magnitude) are placed along X -axis at x=1 cm, x=2 cm,x=8cm ……and so on. In the setup if the consecutive charges have opposite sign, then the electrical field in Newton/Coulomb at x=0 is (1/(4piepsilon_(0))= 9xx10^(9)N-m^(2)//C^(2))

Point charges of magnitude 9muC each are placed along the X-axis at x =1m , x=2m , x=4 m , x=8 m and so on till infinity . Calculate the net force experienced by a charge of 0.1 C placed at the origin.

Infinite number of masses, each of 1 kg , are placed along the x-axis at x = +- 1m, +- 2m, +-4m, +- 8m, +- 16m .. The gravitational of the resultant gravitational potential in term of gravitaitonal constant G at the origin (x = 0) is

An infinite number of charges each equal to q are placed along the x-axis at x= 1m,x=2m,x=4m,x=8m , ... and so on. Find the potential and electric field at the point x = 0 due to this set of charges. What will be potential and electric field ifin the above set up if the consecutive charge have opposite sign? [(q)/(2pi in_(0)),(q)/(3pi in_(0)), (q)/(6pi in_(0)),(q)/(5pi in_(0))]