Question

Q.
Find the Laplace equation value of the following potential field
V=x² - y2 + z²
O A. O
B. 2
C.4
O D. 6
Q. Which of the followina theorem use​

Answer 1

Answer:

you will be use reminder theoram

Answer 2

Answer:

B) 2

Explanation:

• V=x² - y2 + z²
• Because its solutions R (sometimes referred to as harmonic functions) arise in issues involving electrical, magnetic, and gravitational potentials, steady-state temperatures, and hydrodynamics, Laplace's equation, a second-order partial differential equation, is extremely helpful in physics. The French astronomer and mathematician Pierre-Simon Laplace found the equation (1749–1827). The use of spherical or cylindrical coordinate systems makes it easier to explain many physical systems.
• According to Laplace's equation, the total of R's second-order partial derivatives with respect to the Cartesian coordinates is equal to 0.
• V = (Del) 2x - 2y + 2z
• A non-zero value, (Del)2 V = 2 - 2 + 2= 2, can be written. As a result, the Laplace equation is not satisfied.

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