Question

a charge q1=400uc exerts force (60i -80j)N on an unlock charge q2 in vaccum speratly by distace of 30m find charge of q2​

Answer 1

Given:

A charge q1=400uc exerts force (60i -80j)N on another charge q2 in vaccum speratly by distace of 30m .

To find:

Value of charge q2 ?

Calculation:

Net electrostatic force inbetween the charges is:

$F = \sqrt{ {60}^{2} + {( - 80)}^{2} }$

$\implies \: F = \sqrt{3600 + 6400}$

$\implies \: F = \sqrt{10000}$

$\implies \: F = 100 \: N$

Now, as per Coulomb's Law:

$F = \dfrac{k(q1)(q2)}{ {d}^{2} }$

$\implies F = 9 \times {10}^{9} \times \dfrac{(400 \times {10}^{ - 6} )(q2)}{ {(30)}^{2} }$

$\implies F = 9 \times {10}^{9} \times \dfrac{(400 \times {10}^{ - 6} )(q2)}{900}$

$\implies F = {10}^{7} \times (400 \times {10}^{ - 6} )(q2)$

$\implies 100 ={10}^{7} \times (400 \times {10}^{ - 6} )(q2)$

$\implies 100 = (4 \times {10}^{3} )(q2)$

$\implies q2 = \dfrac{100}{4} \times {10}^{ - 3}$

$\implies q2 = 25 \times {10}^{ - 3} \: C$

So, charge q2 = 25 × 10^(-3) C

Answer 2

Answer:

Step-by-step explanation: