A point charge + q is located at the origin, and a point charge +4 q is located at x=a, where a is positive. Which of the following statements is true?

Question

A point charge + q is located at the origin, and a point charge +4 q is located at x=a, where a is positive. Which of the following statements is true? (A) Between the two charges the electric field can be zero at x = a / 3 (B) The electric field can be zero at x =- a (C) Electric field can never be zero on x axis (D) The electric field is maximum at a point between the two charges

Tardigrade Admin · Accepted Answer

Both charges are positive so electric field is zero in between them <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c6c999ab00c02655be78fadc214dd907-.png" /> ( kq / x 2)=( k 4 q /( a - x )2) ⇒ x =( a /3)

Q. A point charge $+ q$ is located at the origin, and a point charge $+ 4 q$ is located at $x = a$ , where a is positive. Which of the following statements is true?

Between the two charges the electric field can be zero at x = a / 3

The electric field can be zero at x =- a

Electric field can never be zero on x axis

The electric field is maximum at a point between the two charges

Both charges are positive so electric field is zero in between them

$\frac{k q}{x ^{2}} = \frac{k 4 q}{( a - x ) ^{2}}$
$\Rightarrow x = \frac{a}{3}$

Q. A point charge +q is located at the origin, and a point charge +4q is located at x=a, where a is positive. Which of the following statements is true?