Question

A thin wire of length L has a uniform charge density ?. The wire is bent into a semicircle with its center at the origin. The magnitude of the electric field at the center of the semicircle is 2 x 10+4 (in N/C). If ? = 6.1 x 10-8 C/m, what is the value of L (in cm)? K = 9 x 10+9 N.m2.C-2 , ?0 = 8.85 x 10-12 C2.N-1.m-2

          A thin wire of length L has a uniform charge density ?. The wire is bent into a semicircle with its center at the origin. The magnitude of the electric field at the center of the semicircle is 2 x 10+4 (in N/C). If ? = 6.1 x 10-8 C/m, what is the value of L (in cm)?
K = 9 x 10+9 N.m2.C-2 , ?0 = 8.85 x 10-12 C2.N-1.m-2

A thin wire of length L has a uniform charge density ?. The wire is bent into a semicircle with its center at the origin. The magnitude of the electric field at the center of the semicircle is 2 x 10+4 (in N/C). If ? = 6.1 x 10-8 C/m, what is the value of L (in cm)?
K = 9 x 10+9 N.m2.C-2 , ?0 = 8.85 x 10-12 C2.N-1.m-2

Added by Mitchell S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

05/05/2022

Step 1

1 x 10^-8 C/m - Electric field at the center of the semicircle, E = 2 x 10^4 N/C - Constant, K = 9 x 10^9 N.m^2/C^2 Show more…

Show all steps

Thanks for your feedback!

A thin wire of length L has a uniform charge density ́λ. The wire is bent into a semicircle with its center at the origin. The magnitude of the electric field at the center of the semicircle is 2 x 10+4 (in N/C). If λ = 6.1 x 10-8 C/m, what is the value of L (in cm)? K = 9 x 10+9 N.m2.C-2, ε0 = 8.85 x 10-12 C2.N-1.m-2