Home
Class 12
PHYSICS
An electric field is given by vec(E )=(y...

An electric field is given by `vec(E )=(yhat(i)+hat(j))NC^(-1)`. Find the work done (in j) by the electric field in moving a 1 C charge form `vecr_(A)=(2 hat(i)+2 hat(j))m` to `vecr_(B)=(4 hat(i)+hat(j))m`.

Text Solution

Verified by Experts

The correct Answer is:
0
`W=q int_(vecr_(A))^(vecr_(B)) vec(E )* dvec(r )=1xxint_(2,2)^(4,1) (E_(x)dx+E_(y)dy)`
`=1xxint_(2,2)^(4,1)(y dx+x dy)= int_(2,2)^(4,1)d(xy)`
`[xy]_(2,2)^(4,1)=4xx1-2xx2=0`.
Promotional Banner

Topper's Solved these Questions

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS|Exercise Single Correct Ansewr Type|20 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS|Exercise Multiple Correct Answers Type|2 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS|Exercise Comprehension|25 Videos

  • COMMUNICATION SYSTEM

    CENGAGE PHYSICS|Exercise QUESTION BANK|19 Videos

  • Current Electricity

    CENGAGE PHYSICS|Exercise QUESTION BANK|40 Videos

Similar Questions

Explore conceptually related problems

An electric field is given by vec(E)=(yhat(i)+xhat(j))N/C . Find the work done (in J) in moving a 1 C charge from vec(r)_(A)=(2hat(i)+2hat(j)) m to vec(r)_(B)=(4hat(i)+hat(j))m .

Find the scalar projection of : vec(a)=hat(i)-hat(j) on vec(b)=hat(i)+hat(j)

The potential field of an electric field vec(E)=(y hat(i)+x hat(j)) is

Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

A surface has the area vector vec(A) = (2 hat(i) + 3 hat(j)) m^(2) . The flux of an electric field through it if the field is vec(E) = 4 hat(i) (V)/(m) :

The displacement of a charge Q in the electric field vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k) is vec(r) = a hat(i) + b hat(j) . The work done is

An electric field is expresed as vec(E)=2hat(i)+3hat(j) The potential difference (V_(A)-V_(B)) between two given by r_(A)=hat(i)+2hat(j) and r_(B)=2hat(i)+hat(j)+3hat(k) is