1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
earnstyle [38]
3 years ago
8

The rectangular region of the xy plane shown has nonuniform surface charge density σ = σ0 (1+ y b), where σ0 is a constant. Find

the net charge.
Physics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

This is net charge on the surface  is  Q = σ₀ x (y + 2by²)

Explanation:

The surface charge density is defined as the amount of charge Q per unit area A

       σ = dq / dA

       dq = σ dA

Since the surface is a rectangular region we use an xy coordinate system so the area difference  

      dA = dxdy

      dq = σ dx dy

 We replace, evaluate the integral

        ∫ dq = ∫ σ₀ (1 + yb) dxdy

realizamos laintegral de dx

        Q -0 =σ₀ ∫ (1 + yb) (x-0)   dy

Where we evaluate We must recognize that the charge Q must be zero by the time X = 0 and Y = 0. At the starting point Q = 0 for x = 0

 

We perform the other integral (dy)

        Q = σ₀ x (y + 2y² b)

Evaluated between Y = 0 and Y = y

      Q = σ₀ x (y + 2by²)

This is net charge on the surface

You might be interested in
Which bone would a forensic anthropologist analyze to identify a victim as male or female?
noname [10]

the femmus is the answer
6 0
3 years ago
Momentum and different surfaces
saw5 [17]
What are you asking here?
5 0
3 years ago
When a huge block of rock is pushed up at a normal fault, a ___ mountain is usually formed. A.fault -block B.dome C.folded D.bas
katrin2010 [14]
The answer is A. Block mountain
8 0
3 years ago
Read 2 more answers
________ reaction time involves selecting a specific and correct response from several choices when presented with several diffe
kobusy [5.1K]
Complex reaction time involves selecting a specific and correct response from several choices when presented with several different stimuli.
Answer: A
8 0
3 years ago
Read 2 more answers
Define pressure snd state its SI units to​
Sophie [7]

Answer:

Pressure (P) is the amount of force applied perpendicular to the surface of an object per unit area. The SI unit of pressure is the pascal (Pa), which is equivalent to N/m^{2} (newtons per meter squared).

6 0
3 years ago
Other questions:
  • objects A and B are brought close to each other. object A will soon become positively charged. identify the charge that must tra
    5·2 answers
  • Incoming sensory messages are made sense of in
    13·1 answer
  • How would a solute affect the boiling point of water? a. The water will boil at a lower temperature. b. The water will boil at a
    8·2 answers
  • 20. Consider two Stars A and B with temperatures Ta and TB and radii Ra and RB respectively. If TA
    12·1 answer
  • Which statements are true? Science is a collection of facts that does not evolve. We have gained all the knowledge we can from s
    10·1 answer
  • WILL MARK BRAINLY
    10·2 answers
  • You lay a rectangular board on the horizontal floor and then tilt the board about one edge until it slopes at angle 0 with the h
    5·1 answer
  • Maggie is a member of her school’s environmental club and is interested in recycling. She asks the question, “How does exposure
    13·1 answer
  • DUE IN AN HOUR! HELP!!
    7·1 answer
  • A 3.59 kg block is released from rest 53.0 m above the ground. When it has fallen 21.3 m, what is its kinetic energy
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!