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fomenos
3 years ago
5

Two charged concentric spherical shells have radii 8.83 cm and 15.4 cm. The charge on the inner shell is 5.03 × 10⁻⁸ C and that

on the outer shell is 2.77 × 10⁻⁸ C. Find the electric field (a) at r = 11.1 cm and (b) at r = 36.1 cm.
Physics
1 answer:
REY [17]3 years ago
3 0

Answer:

a. E(r) = 3.67 x 10⁴ N/C

b. E(r) = 5.38 x 10⁴ N/C

Explanation:

r1 = 8.83 cm

r2 = 15.4 cm

Charge on the inner shell = 5.03 x 10^-⁸ C

Charge on the outer shell = 2.77 x 10^-⁸ C

a)   To find the electric field at r = 11.1 cm,

r₁ = 8.83 cm < r = 11.1 cm < r₂ = 15.4 cm

E(r) = <u>1              </u> <u>q₁    </u>

          4\pi∈₀        r₂  

E(r) = <u>( 8.99 x 10⁹ N.m²/C² )  ( 5.03 x 10⁻⁸)</u>

                                 (0.111m)²

E(r) = 3.67 x 10⁴ N/C

b)   To find the electric field at r = 36.1 cm

since r₁  < r₂ < r = 36.1 cm

E(r) = <u>1              </u> <u>q₁  ₊  q₂   </u>

          4\pi∈₀           r₂  

E(r) = <u>( 8.99 x 10⁹ N.m²/C² )  ( 5.03 + 2.77 )(1 x 10⁻⁸)</u>

                                             (0.361m)²

E(r) = 5.38 x 10⁴ N/C

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