Question

3. (20 pts) In a source free region of free space a voltage potential field exists and is given by $3yz^2 + 5xy - 3z^3$ V. At P(2, 4, 2) determine: a. The value of the voltage potential, V. b. The associated electric field intensity vector, $\vec{E}$. c. The associated electric flux density vector, $\vec{D}$. d. The volume charge density, $\rho_v$.

          3. (20 pts) In a source free region of free space a voltage potential field exists and is given by $3yz^2 + 5xy - 3z^3$ V. At P(2, 4, 2) determine:
a. The value of the voltage potential, V.
b. The associated electric field intensity vector, \(\vec{E}\).
c. The associated electric flux density vector, \(\vec{D}\).
d. The volume charge density, $\rho_v$.

3. (20 pts) In a source free region of free space a voltage potential field exists and is given by 3yz^2 + 5xy - 3z^3 V. At P(2, 4, 2) determine:
a. The value of the voltage potential, V.
b. The associated electric field intensity vector, E⃗.
c. The associated electric flux density vector, D⃗.
d. The volume charge density, .

Added by Bego-A S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Meghan R

03/24/2022

Step 1

To do this, we substitute the coordinates of point P into the given voltage potential function: V(x,y,z) = 3yz^2 + 5xy - 3z^3 V(2,4,2) = 3(4)(2)^2 + 5(2)(4) - 3(2)^3 V(2,4,2) = 3(4)(4) + 5(8) - 3(8) V(2,4,2) = 48 + 40 - 24 V(2,4,2) = 64 V Show more…

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Can you help me to get the correct answers. 3. (20 pts) In a source free region of free space a voltage potential field exists and is given by 3yz2 + 5xy -- 3z3 V.At P(2,4,2) determine: a. The value of the voltage potential, V. b. The associated electric field intensity vector, E c. The associated electric flux density vector, D. d. The volume charge density, v.