Question

Please i need to get help for the First and Thired questions, and a clear handwriting please.

Thanks

1. A thin disk of radius R and uniform surface charge density (charge per unit area) s is centered on the origi in the y,z-plane. (a) Use calculus to find the electric field at an arbitrary point along the X-axis. (b) What is the electric field when x <<R? (b) When x >> R? 2. Draw approximate electric field lines for the charge distribution shown at right. 3. The figure below shows an electric dipole located in an electric field directed to the right. The magnitude of the charge on each particle of the dipole is 2 nC, the distance between the particles is 10 cm, the angle 0 = 600, and the magnitude of the electric field is 50 N/C. (a) What is the dipole moment of the dipole? (b) What is the torque on the dipole? (c) What is the potential energy of the dipole? Ut -90 +90

Answer 1

Dear student, it is against the policy to answer two different questions in a single shot. So below is the solution of 1st question.
→ We can divide this disc in infinitely small rings, and then by using the formula for electric field due to hire nee can integrate it to find the required result.. So, we know that Elechic field of the axis of ring is (= kad -(i) where re is the (d²+ r2)/2 radius of the ring. Bisc - take an elemental ring of a radius die and thicknessce de = K de d – ci). (44732)/2 Now we can integrate this field to find the net elechic field due to the disc. But first wee hate to convent riger- trand side ich one single variable.

dq=sx aarde – cii) Put this in equation (i) de = K d x S x aarde (8482142 let 22 - t them then Xrdr= 2t dt de = k d xsxaktat Lat e adeseanfalter Jue = kes42{(+)} sede kds 20 (Joan). E- - KOS36. Foret ja E kdsak ( 1 ) E= - Kds x 20 x
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