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ElectrostaticsQuestion and Answers: Page 2

Question Number 104572 Answers: 1 Comments: 1

Question Number 82647 Answers: 0 Comments: 2

In the rectangular region, −2<x<2, −3<y<3, the surface charge density is given as ρ_s =(x^2 +y^2 +1)^(3/2) . If no other charge is present, find E at P(0,0,1).

$I n t h e r e c t a n g u l a r r e g i o n, - 2 < x < 2,$ $- 3 < y < 3, t h e s u r f a c e c h a r g e d e n s i t y$ $i s g i v e n a s ρ_{s} = {(x^{2} + y^{2} + 1)}^{\frac{3}{2}} . I f n o o t h e r$ $c h a r g e i s p r e s e n t, f i n d E a t P (0, 0, 1) .$

Question Number 82631 Answers: 0 Comments: 1

Eight point charges of 1nC each are located at corners of the cube in free space that is 1m on a side . Find ∣E∣ at the centre of an edge. (Assume origin to be centre of cube).

$E i g h t p o i n t c h a r g e s o f 1 n C e a c h a r e$ $l o c a t e d a t c o r n e r s o f t h e c u b e i n f r e e$ $s p a c e t h a t i s 1 m o n a s i d e . F i n d ∣ E ∣$ $a t t h e c e n t r e o f a n e d g e .$ $(A s s u m e o r i g i n t o b e c e n t r e o f c u b e) .$

Question Number 82627 Answers: 0 Comments: 1

A 20nC point charge is located at P(2,4,−3) in free space. Find the locus of all points at which E_r =1V/m.

$A 20 n C p o i n t c h a r g e i s l o c a t e d a t$ $P (2, 4, - 3) i n f r e e s p a c e . F i n d t h e l o c u s$ $o f a l l p o i n t s a t w h i c h E_{r} = 1 V / m .$

Question Number 82591 Answers: 0 Comments: 12

A closed surface is defined in spherical coordinates by 3<r<5 , 0.1π<θ<0.3π, 1.2π<φ<1.6π. Find the total surface area.

$A c l o s e d s u r f a c e i s d e f i n e d i n s p h e r i c a l$ $c o o r d i n a t e s b y 3 < r < 5, 0.1 π < θ < 0.3 π,$ $1.2 π < ϕ < 1.6 π . F i n d t h e t o t a l s u r f a c e$ $a r e a .$

Question Number 74423 Answers: 0 Comments: 1

Question Number 65040 Answers: 0 Comments: 0

what is the curve of the curve caused by the earth to the space time _ fabric

$w h a t i s t h e c u r v e o f t h e c u r v e c a u s e d b y$ $t h e e a r t h t o t h e s p a c e t i m e_f a b r i c$

Question Number 63124 Answers: 1 Comments: 5

A solenoid is 40cm long,has a cross sectional area of 8.0cm^2 and is wound with 309 turns of wire that carries a current of 1.2A.The relative permeability of the iron core is 600. Compute the B for the interior point and the flux through the solenoid.

$A s o l e n o i d i s 40 c m l o n g, h a s a c r o s s$ $s e c t i o n a l a r e a o f 8.0 {c m}^{2} a n d i s w o u n d$ $w i t h 309 t u r n s o f w i r e t h a t c a r r i e s a$ $c u r r e n t o f 1.2 A . T h e r e l a t i v e$ $p e r m e a b i l i t y o f t h e i r o n c o r e i s 600 .$ $C o m p u t e t h e B f o r t h e i n t e r i o r p o i n t$ $a n d t h e f l u x t h r o u g h t h e s o l e n o i d .$

Question Number 59958 Answers: 0 Comments: 0

Question Number 59703 Answers: 1 Comments: 0

Question Number 57783 Answers: 1 Comments: 0

Question Number 55853 Answers: 0 Comments: 0

Question Number 55431 Answers: 1 Comments: 1

2 plane parallel conducting plates are held horizontal,one above the other in a vacuum.Electrons having a speed of 6×10^6 m/s and moves normally to the plates enter the region between them through a hole in the lower plate which is earthed.What potential must be applied to the other plate so that the electrons just fails to reach it?What is the subsequent motion of these electrons? (ratio of charge to mass of electron= 1.8×10^(11) Ckg^(−1) )

$2 p l a n e p a r a l l e l c o n d u c t i n g p l a t e s a r e$ $h e l d h o r i z o n t a l, o n e a b o v e t h e o t h e r i n$ $a v a c u u m . E l e c t r o n s h a v i n g a s p e e d o f$ $6 \times 10^{6} m / s a n d m o v e s n o r m a l l y t o t h e$ $p l a t e s e n t e r t h e r e g i o n b e t w e e n t h e m$ $t h r o u g h a h o l e i n t h e l o w e r p l a t e w h i c h$ $i s e a r t h e d . W h a t p o t e n t i a l m u s t b e$ $a p p l i e d t o t h e o t h e r p l a t e s o t h a t t h e$ $e l e c t r o n s j u s t f a i l s t o r e a c h i t ? W h a t$ $i s t h e s u b s e q u e n t m o t i o n o f t h e s e$ $e l e c t r o n s ?$ $(r a t i o o f c h a r g e t o m a s s o f e l e c t r o n =$ $1.8 \times 10^{11} {C k g}^{- 1})$

Question Number 52222 Answers: 1 Comments: 0

Question Number 50994 Answers: 2 Comments: 0

Two similar ball of mass m attached by silk thread of length a and carry similar charge q.assume θ is small enough that tanθ≈sinθ to this approximation,show that X=(((qa)/(2πε_0 mg)))^(1/3) where X is distance of separation.

$T w o s i m i l a r b a l l o f m a s s$ $m a t t a c h e d b y s i l k t h r e a d$ $o f l e n g t h a a n d c a r r y$ $s i m i l a r c h a r g e q . a s s u m e θ i s$ $s m a l l e n o u g h t h a t$ $t a n θ \approx s i n θ t o t h i s$ $a p p r o x i m a t i o n, s h o w$ $t h a t X = {(\frac{q a}{2 π ε_{0} m g})}^{\frac{1}{3}}$ $w h e r e X i s d i s t a n c e o f$ $s e p a r a t i o n .$

Question Number 48489 Answers: 0 Comments: 0

Question Number 48458 Answers: 1 Comments: 1

Question Number 48405 Answers: 0 Comments: 7

Question Number 47646 Answers: 1 Comments: 2

Question Number 47641 Answers: 0 Comments: 0

E=(E_1 ^2 +E_2 ^2 +2E_1 E_2 cos2θ)^(1/2) full explanation

$E = {(E_{1}^{2} + E_{2}^{2} + {2 E}_{1} E_{2} \cos 2 θ)}^{1 / 2}$ $full explanation$

Question Number 46374 Answers: 1 Comments: 1

At each of three corners of a square of side 2cm is placed a point charge of magnitude 3μC. What will be the magnitude and direction of the resultant force on a point charge −1μC if it were placed (a) at the centre of the square? (b) at the vacant corner of the sqre?

$A t e a c h o f t h r e e c o r n e r s o f a s q u a r e$ $o f s i d e 2 c m i s p l a c e d a p o i n t c h a r g e$ $o f m a g n i t u d e 3 μ C .$ $W h a t w i l l b e t h e m a g n i t u d e a n d$ $d i r e c t i o n o f t h e r e s u l t a n t f o r c e o n a$ $p o i n t c h a r g e - 1 μ C i f i t w e r e p l a c e d$ $(a) a t t h e c e n t r e o f t h e s q u a r e ?$ $(b) a t t h e v a c a n t c o r n e r o f t h e s q r e ?$

Question Number 46293 Answers: 0 Comments: 1

Question Number 46292 Answers: 1 Comments: 0

A +ve point charge of magnitude q is located on the y−axis at a point of y=+d and another −ve charge of same magnitude is located on the point y=−d. A third +ve charge of same magnitude is located at some point on x−axis. (1)− what is the magnitude and direction of the force on third charge ? (a)− when its located on the origin. (b)− when its coordinate is x. (2)− show that when x is large compared to distance d, the force in (b) is inversely proportionalto the cube of the distance from origin.

$A + v e p o i n t c h a r g e o f m a g n i t u d e q i s l o c a t e d o n t h e y - a x i s$ $a t a p o i n t o f y = + d a n d a n o t h e r - v e c h a r g e o f s a m e m a g n i t u d e$ $i s l o c a t e d o n t h e p o i n t y = - d .$ $A t h i r d + v e c h a r g e o f s a m e m a g n i t u d e i s l o c a t e d$ $a t s o m e p o i n t o n x - a x i s .$ $(1) - w h a t i s t h e m a g n i t u d e a n d d i r e c t i o n o f t h e f o r c e o n$ $t h i r d c h a r g e ?$ $(a) - w h e n i t s l o c a t e d o n t h e o r i g i n .$ $(b) - w h e n i t s c o o r d i n a t e i s x .$ $(2) - s h o w t h a t w h e n x i s l a r g e c o m p a r e d t o d i s t a n c e d,$ $t h e f o r c e i n (b) i s i n v e r s e l y p r o p o r t i o n a l t o t h e$ $c u b e o f t h e d i s t a n c e f r o m o r i g i n .$

Question Number 41530 Answers: 1 Comments: 0

Question Number 40817 Answers: 1 Comments: 0

An electric field of 2.66KV/m,and a magnetic field of 1.20T,act on a moving electron.Calculate the speed of the electron if the resultant force due to both fields is zero.

$A n e l e c t r i c f i e l d o f 2.66 K V / m, a n d$ $a m a g n e t i c f i e l d o f 1.20 T, a c t o n a$ $m o v i n g e l e c t r o n . C a l c u l a t e t h e s p e e d$ $o f t h e e l e c t r o n i f t h e r e s u l t a n t f o r c e$ $d u e t o b o t h f i e l d s i s z e r o .$

Question Number 40816 Answers: 0 Comments: 0

An electric field of 2.66KV/m,and a magnetic field of 1.20T,act on a moving electron.Calculate the speed of the electron if the resultant force due to both fields is zero.

Pg 1 Pg 2 Pg 3 Pg 4

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