SATHEE: Electric Charges and Fields

Electric Charges and Fields - Result Question 13

13. Two parallel infinite line charges with linear charge densities $+ λ C / m$ and $- λ C / m$ are placed at a distance of $2 R$ in free space. What is the electric field mid-way between the two line charges?

[2019]

(a) zero

(b) $\frac{2 λ}{π \in_{0} R} N / C$

(d) $\frac{λ}{2 π ε_{0} R} N / C$

Show Answer

Answer:

Correct Answer: 13. (c)

Solution:

${\vec{E}}_{1} = \frac{λ}{2 π ε_{0} R} \hat{i} N / C$

Electric field due to line charge (2)

$\begin{aligned} {\vec{E}}_{2} = \frac{λ}{2 π ε_{0} R} \hat{i} N / C \\ {\vec{E}}_{net} = {\vec{E}}_{1} + {\vec{E}}_{2} \\ = \frac{λ}{2 π ε_{0} R} \hat{i} + \frac{λ}{2 π ε_{0} R} \hat{i} \\ = \frac{λ}{π ε_{0} R} \hat{i} / C \end{aligned}$

Both ${\vec{E}}_{1}$ and ${\vec{E}}_{2}$ are in the same direction.

Electric field at a point due to $+ v e$ charge $(+ q)$ acts away from the charge and due to negative charge $(- q)$ it acts towards the charge.

Electric Charges and Fields - Result Question 13

13. Two parallel infinite line charges with linear charge densities $+ λ C / m$ and $- λ C / m$ are placed at a distance of $2 R$ in free space. What is the electric field mid-way between the two line charges?

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 13

13. Two parallel infinite line charges with linear charge densities +λC/m and −λC/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

13. Two parallel infinite line charges with linear charge densities $+ λ C / m$ and $- λ C / m$ are placed at a distance of $2 R$ in free space. What is the electric field mid-way between the two line charges?