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jonny [76]
4 years ago
9

A constant electric field is present throughout a region of space that includes the plane bounded by the y and z axes and the li

nes y = 50 cm and z = 50 cm. The electric flux through the plane's surface, in N ⋅ m 2/C, is
Physics
1 answer:
almond37 [142]4 years ago
5 0

Here is the correct question

A constant electric field E = 100 N/C pointing along the positive x-axis is present throughout a region of space that includes the plane bounded by the y and z axes and the lines y = 50 cm and z = 50 cm. The electric flux through the plane's surface, in N ⋅ m 2/C, is

Answer:

25 Nm²/C

Explanation:

given that

The constant electrical field E = 100 N/C

the field lines y and z = 50 cm and 50 cm respectively

= 0.5 m and 0.5 m

For constant electric field, the flux = electric field x area through which field lines are passing

i.e Flux  = (100 ×0.5 × 0.5) Nm²/C

= 25 Nm²/C

Therefore; The electric flux through the plane's surface, in Nm²/C is =  25 Nm²/C

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Explanation:

The distance between x and y direction diagonals.

As per the given details the distance between diagonals is calculated as

0.5² + 0.5² = c²  =>  c = 0.707 m

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In order to find the electric charge towards x direction

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e = 9 x 10^{5} N/C

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X direction sum = 1218198 N/C.

Similarly as shown in x direction the charge is same for y direction also

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e = kq/r²

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e = 9 x 10^{5} N/C

Charge diagonal:

e = kq/r²

e = [(9 x 10^{9})(250 x 10^{-7}) / (0.5)²] sin 45

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Resultant electric field strength:

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e = 1614217 N/C [45 degrees below the horizontal]

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Answer:

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