Q.1 An infinite long uniform line charge is located at y = 3, z = 5. If ρ

Q.1 An infinite long uniform line charge is located at y = 3, z = 5. If ρ

_{L}= 30 nC/m. Calculate the electric field at point (5, 6, 1).Ans:

The electric field intensity (E) due to an infinite line charge is given as:

In this case, ρ = (6 – 3) a

_{y}+ ρ(1 – 5)a

_{z}= 3a

_{y}– 4a

_{z}

Hence a

_{ρ}= (3a

_{y}- 4a

_{z}) / 5

Therefore E is,

**Q.2 A uniform line charge density 20 nC lies on z axis between z = 1 and z = 3.**

**Find electric field intensity at point (4, 0, 0).**

Ans:

Electric field due to a line charge density is given as:

In this case

**R = 4 a**

_{x}– z a_{z}**a**

_{r}= (4 a_{x}– z a_{z}) / (4^{2}+ z^{2})Hence we have,

**Q. 3 Two identical charges are located on the y axis at y = 3 and y = 9. At what point in space is the net electric field zero?**

Ans:

As the both charges are on the y axis, the point at which the fields due to the two charges can cancel has to lie on the y-axis also.

**Since the two charges are identical,**the point at which the net electric field will be zero is midway between them, i.e. at point (0, 6, 0)

**Q.4 A point charge 100 pC is located at (4, 1, -3) while the x-axis carries charge 2 nC/m. If the plane z = 3 also carries charge 5nC / m**

^{2}, find E at (1, 1, 1).Ans:

Electric field at point (1, 1, 1) is given as:

= (- 0.0216, 0, 0.0288) + (0, 18, 18) – 264.7 (0, 0, 1)

= - 0.0216 a

_{x}+ 18a

_{y}– 264.7 a

_{z}V/m

**Q.5 Plane x + 2y = 5 carries charge ρ**

_{s}= 6 nC/m^{2}. Determine E at (-1, 0, 1)?Ans:

Let f (x, y) = x + 2y – 5

∇ f = a

_{x}+ 2a

_{y}

A unit normal vector to any surface or plane is given as:

Now since (-1, 0, 1) lies below the plane, therefore Electric field is given as:

**ALSO READ:**

**- Introduction To Electrostatics.**

**- Coulomb's law.**

**- Electric Field Intensity (E).**

**- Electric Lines Of Forces /Streamlines / Electric Flux (ψ) .**

**- Electric Flux Density (D).**

**- Electric Field Intensity Due To a Finite and Infinite Line Charge.**

**- Electric Field Intensity Due To a Infinite Sheet Charge.**

**- Electric Field Intensity Due To a Circular Ring Charge.**

**- Electric Field Intensity Due To a Circular Disk Charge.**

**- Numericals / Solved Examples - Electric Force and Field Intensity.**

**- Numericals / Solved Examples - Electric Field Intensity - Line, Surface and Mixed Charge Configuration.**

**Your suggestions and comments are welcome in this section. If you want to share something or if you have some stuff of your own, please do post them in the comments section.**

sir plz hlp me in solving this que

ReplyDeleteinfinite line charge of p=5nc/m lie along +ve n -ve x and y axes

1)(0,0,4)

2)(0,3,4)

plz hlp me in solving this que

ReplyDeleteinfinite line charge is located on both +ve n -ve x and y axes

a)(0,0,4)

b)(0,3,4)

infinite long charge is located on +ve and -ve xy axes

ReplyDelete1)(0,0,4)

2)(0,3,4)