Solve: Express the electric field as an integral equation. Explain all steps and

Question

Solve: Express the electric field as an integral equation. Explain all steps and define all variables. Simplify the integral as moth as possible [using symmetry and/or substitutions). and be neat. Write out a step by step method for approximating the result of the integral. Show a sample calculation for a small iteration (dividing the charge into 4 or 5 pieces). Use z = 5 cm, R = 3 cm, L = 10 cm, and C_p = 400 C/m^3 for the sample calculation. Explain all steps and define ad variables. and be neat.

Explanation / Answer

take dl length and and charge dq we have to find dE at R distance from the line charge
dE = kdq/R^2
dq =lamda * dl

E = Integral (0 to l) [dE*COS(THETA)]
E = LAMDA .l/(2*pi*R*epsilon)

take 4 pieces
there will be four    Cos(theta ) componetny
dE = integral{4dE Cos(theta)}
E = k LAMDA R INTEGRAL[0 TO L] {dl/(R^2+ L^2)^3/2}
E =K * LAMDA *(l/(R^2+L^2)^1/2

L= 10CM ,R=3CM
E =1149.42 *10^11

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.