SATHEE: Electric Charges and Fields

Electric Charges and Fields - Result Question 33

33. There is an electric field $E$ in $x$ -direction. If the work done on moving a charge of $0.2 C$ through a distance of $2 m$ along a line making an angle $60^{\circ}$ with $x$ -axis is $4 J$ , then what is the value of $E$ ?

[1995]

(a) $3 N / C$

(b) $4 N / C$

(d) $20 N / C$

Topic 3: Electric Flux & Gauss’s Law

Show Answer

Answer:

Correct Answer: 33. (d)

Solution:

(d) Charge $(q) = 0.2 C$ ;

Distance $(d) = 2 m$ ; Angle $θ = 60^{\circ}$ and work done $(W) = 4 J$ .

Work done in moving the charge $(W)$

$= F \cdot d \cos θ = q E d \cos θ$

$or, \begin{aligned} E & = \frac{W}{q d \cos θ} = \frac{4}{0.2 \times 2 \times \cos 60^{\circ}} = \frac{4}{0.4 \times 0.5} \\ = 20 N / C . \end{aligned}$

Electric Charges and Fields - Result Question 33

33. There is an electric field $E$ in $x$ -direction. If the work done on moving a charge of $0.2 C$ through a distance of $2 m$ along a line making an angle $60^{\circ}$ with $x$ -axis is $4 J$ , then what is the value of $E$ ?

Topic 3: Electric Flux & Gauss’s Law

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Electric Charges and Fields - Result Question 33

33. There is an electric field E in x-direction. If the work done on moving a charge of 0.2C through a distance of 2m along a line making an angle 60∘ with x-axis is 4J, then what is the value of E ?

Topic 3: Electric Flux & Gauss’s Law

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

33. There is an electric field $E$ in $x$ -direction. If the work done on moving a charge of $0.2 C$ through a distance of $2 m$ along a line making an angle $60^{\circ}$ with $x$ -axis is $4 J$ , then what is the value of $E$ ?