Solve 9*10^{9}Nm^{2}/C^{2})(frac{(2*10^{-6}C)(-6*10^{-6}C)}{3m}+(2*10^-6C)(3*10^-6C)/frac{(3*10^-6C)(-6*10^-6C){5m})}

$$9 \times 10 ^ { 9 } Nm ^ { 2 } / C ^ { 2 } ) ( \frac { ( 2 \times 10 ^ { - 6 } C ) ( - 6 \times 10 ^ { - 6 } C ) } { 3 m } + \frac { ( 2 \times 10 ^ { - 6 } C ) ( 3 \times 10 ^ { - 6 } C ) } { \frac { ( 3 \times 10 ^ { - 6 } C ) ( - 6 \times 10 ^ { - 6 } C ) } { 5 m } ) }$$

Evaluate

$$9000000000\times \left(\frac{m}{C}\right)^{2}N$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{9\times 1000000000Nm^{2}}{C^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$\frac{9000000000Nm^{2}}{C^{2}}$$

Differentiate w.r.t. N

$$9000000000\times \left(\frac{m}{C}\right)^{2}$$