Derive expression for electric field due to a dipole. Modify the expression when z>>d. 4. OR Find the electrical potential due to line of charges. CO1: Define or Justify different physical quantities; CO2: Derive various equations of Electric Field, Potentia Electricity, and Capacitance; CO3: Evaluate different numerical problems

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[4] CO2
Derive expression for electric field due to a dipole. Modify the expression when
z>>d.
OR Find the electrical potential due to line of charges.
4.
CO1: Define or Justify different physical quantities; CO2: Derive various equations of Electric Field, Potential and
Electricity, and Capacitance; CO3: Evaluate different numerical problems
Transcribed Image Text:[4] CO2 Derive expression for electric field due to a dipole. Modify the expression when z>>d. OR Find the electrical potential due to line of charges. 4. CO1: Define or Justify different physical quantities; CO2: Derive various equations of Electric Field, Potential and Electricity, and Capacitance; CO3: Evaluate different numerical problems
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Step 1

Electric field due to dipole for the points on the axis

Let point P is at a distance z from the center of dipole.

Advanced Physics homework question answer, step 1, image 1

Electric field due to +q chargeE+=kq(z-d)2Where k=14πε0Electric field due to +q chargeE-=-kq(z+d)2Net electric field at point P is given as,Enet=kq(z-d)2-kq(z+d)2Enet=kq1(z-d)2-1(z+d)2Enet=kq(z+d)2-(z-d)2(z+d)2(z-d)2Enet=4qzd4πε01z2-d22When z>>d, then d2 can be neglectedEnet=14πε04qzdz4Enet=14πε04qdz3

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