Question

Drill 2.15 In cylindrical coordinates, $\rho_v = 4\sin\phi/\rho$ C/m$^3$ for the volume $0.0 \le \rho \le 2.0$ m, $0 \le \phi \le \pi$ and $-2.0$ m $\le z \le 2.0$ m. Find the total charge in this volume. (Answer: $Q = 64$ C)

Name: Drill 2.15 In cylindrical coordinates, = 4sinϕ/ρ C/m^3 for the volume 0.0 ≤ρ≤ 2.0 m, 0 ≤ϕ≤π and -2.0 m ≤ z ≤ 2.0 m. Find the total charge in this volume. (Answer: Q = 64 C)
Uploaded: 2023-07-25T13:47:20-08:00
Duration: 3 min 17 s
Channel: Sri K
Description: Drill 2.15 In cylindrical coordinates, = 4sinϕ/ρ C/m^3 for the volume 0.0 ≤ρ≤ 2.0 m, 0 ≤ϕ≤π and -2.0 m ≤ z ≤ 2.0 m. Find the total charge in this volume. (Answer: Q = 64 C)

          Drill 2.15 In cylindrical coordinates, $\rho_v = 4\sin\phi/\rho$ C/m$^3$ for the volume $0.0 \le \rho \le 2.0$ m, $0 \le \phi \le \pi$ and $-2.0$ m $\le z \le 2.0$ m. Find the total charge in this volume. (Answer: $Q = 64$ C)

Added by Enrique M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

07/25/2023

Step 1

Step 1: The volume element in cylindrical coordinates is given by dV = ρ dρ dφ dz. Show more…

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Texts: Can someone show me how to solve for this? In cylindrical coordinates, ρv = 4sinφ/ρ C/m³ for the volume 0.0 ≤ ρ ≤ 2.0 m, 0 ≤ φ ≤ π, and -2.0 m ≤ z ≤ 2.0 m. Find the total charge in this volume. (Answer: Q = 64 C) Dril12.15 In cylindrical coordinates, P = 4sinφ/ρ C/m³ for the volume 0.0 ≤ ρ ≤ 2.0 m, 0 ≤ φ ≤ π, and -2.0 m ≤ z ≤ 2.0 m. Find the total charge in this volume. (Answer: Q = 64 C)