Two point charges +4q and -3q are placed at points A and B respectively, as shown in the figure. Assuming the variables q and K represent purely numerical values in standard SI units, the numerical value of the electric potential at the origin O , when expressed in multiples of 10^2 V , is: (Take 1 4 ₀ = K )

Step-by-step solution

The electric potential at the origin O is the sum of the potentials due to the individual point charges. Using the formula V = KQ r , the total potential at O is: V_O = V_A + V_B Substituting the given values with distances converted to meters ( 3 cm = 3 10⁻² m and 4 cm = 4 10⁻² m ): V_O = K(4q) 3 10⁻² + K(-3q) 4 10⁻² Factoring out the common terms: V_O = Kq 10^2 ( 4 3 - 3 4 ) V_O = Kq 10^2 ( 16 - 9 12 ) V_O = ( 7 12 ) qK 10^2 V Thus, the numerical value of the electric potential at the origin, when expressed in mu