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Marizza181
3 months ago
8

A charge Q is distributed uniformly along the x axis from x1 to x2. What would be the magnitude of the electric field at x0 on t

he x-axis? Assume that ke = 1 4 π ǫ0 and x0 > x2 > x1 for a Coulomb constant of 8.98755 × 109 N · m2 /C 2
Physics
1 answer:
Sav [3.1K]3 months ago
8 0
E = k Q 1 / (x₀-x₂) (x₀-x₁)Explanation:The electric field is expressed as dE = k dq / r²As this case shows a continuous load distribution, we can apply the linear density concept λ= Q / x = dq / dx such that dq = λ dxWe insert this into the equation: ∫ dE = k ∫ λ dx / x²Next, we perform integration: E = k λ (-1 / x)Now evaluating from the lower limit of x = x₀-x₂ to the upper limit of x = x₀-x₁ gives us: E = k λ (-1 / x₀-x₁ + 1 / x₀-x₂)Consequently, we find: E = k λ (x₂ - x₁) / (x₀-x₂) (x₀-x₁)Replacing the density yields E = k (Q / (x₂-x₁)) [(x₂-x₁) / (x₀-x₂) (x₀-x₁)] E = k Q 1 / (x₀-x₂) (x₀-x₁)
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serg [3582]

Response:

0.9 cm

Clarification:

The following illustrates the calculation of the combined rod's length increase:

As established

Length increase = expansion of aluminum rod + expansion of steel rod

= 10cm \times 2.4e - 5\times (90-15) + 80cm\times 1.2e - 5\times (90-15)

= 0.9 cm

We simply summed the expansions of both the aluminum and steel rods to determine the overall increase in the joined rod's length, which must be factored in

4 0
3 months ago
Use the formula t = (0.25) s1/2 to find the time t in seconds it will take a stone to drop a distance s of 200 feet. Round your
inna [3103]

Answer:

The duration, t = 3.53 seconds

Explanation:

The following information is provided:

The equation to calculate the time t is expressed as:

t=(0.25)s^{1/2}...... (1)

Where

s denotes the distance in feet

We are to determine the duration taken by the stone to fall a distance of 200 feet, where s = 200 feet

Substituting the value of s into equation (1) yields:

t=(0.25)\times (200)^{1/2}

t = 3.53 seconds

Thus, the time taken by the object is 3.53 seconds, which provides the required answer.

4 0
3 months ago
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The initial description is the accurate one.
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