Two parallel infinite line charges with linear charge densities C/m and C/m are placed at a distance of in free space. What is the electric field midway between the two line charges? [2019]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
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 midway between the two line charges [2019]

1 $\frac{λ}{2 π ε_{0} R}$ N/C

2 zero

3 $\frac{2 λ}{π ε_{0} R}$ N/C

4 $\frac{λ}{π ε_{0} R}$ N/C

Ans.
(4)

Electric field due to an infinite line charge, $E = \frac{λ}{2 π ε_{0} r}$

Net electric field at mid-point O,

${\vec{E}}_{0} = {\vec{E}}_{1} + {\vec{E}}_{2}$

As, $E_{1} = E_{2} = \frac{λ}{2 π ε_{0} R}$ $∴$ $E_{0} = 2 E_{1} = \frac{λ}{π ε_{0} R} {N C}^{- 1}$

Solution

Q.
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 midway between the two line charges [2019]

1 $\frac{λ}{2 π ε_{0} R}$ N/C

2 zero

3 $\frac{2 λ}{π ε_{0} R}$ N/C

4 $\frac{λ}{π ε_{0} R}$ N/C

Ans.
(4)

Electric field due to an infinite line charge, $E = \frac{λ}{2 π ε_{0} r}$

Net electric field at mid-point O,

${\vec{E}}_{0} = {\vec{E}}_{1} + {\vec{E}}_{2}$

As, $E_{1} = E_{2} = \frac{λ}{2 π ε_{0} R}$ $∴$ $E_{0} = 2 E_{1} = \frac{λ}{π ε_{0} R} {N C}^{- 1}$

Want Us to Email you About Special Offers & Updates?

Solution

Q. Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance of 2R in free space. What is the electric field midway between the two line charges [2019]

1 λ2πε0RN/C

2 zero

3 2λπε0RN/C

4 λπε0RN/C

Ans. (4) Electric field due to an infinite line charge, E=λ2πε0r Net electric field at mid-point O, E→0=E→1+E→2 As, E1=E2=λ2πε0R ∴ E0=2E1=λπε0RN C-1

Want Us to Email you About Special Offers & Updates?

Q.
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 midway between the two line charges [2019]

1 $\frac{λ}{2 π ε_{0} R}$ N/C

3 $\frac{2 λ}{π ε_{0} R}$ N/C

4 $\frac{λ}{π ε_{0} R}$ N/C

Ans.
(4)

Electric field due to an infinite line charge, $E = \frac{λ}{2 π ε_{0} r}$

Net electric field at mid-point O,

${\vec{E}}_{0} = {\vec{E}}_{1} + {\vec{E}}_{2}$

As, $E_{1} = E_{2} = \frac{λ}{2 π ε_{0} R}$ $∴$ $E_{0} = 2 E_{1} = \frac{λ}{π ε_{0} R} {N C}^{- 1}$