A capacitor has circular plates of radius r=12cm that are a distance d=0.1cm apart.
The capacitor is hooked up to a 12V battery.
If the plates are pulled apart so that they are now a distance d=0.2cm apart, what magnitude of charge accumulates on each plate in C?
A capacitor has circular plates of radius r=12cm that are now a distance d=0.2cm apart.
If this particular capacitor is hooked up to a 12V battery, what is the value of the Electric Field between the two plates in N/C?
What would the electron's acceleration in m/s2 be?
If an electron were placed between the two plates what is the magnitude of the force it would experience in N?
To answer these questions, we need to understand the relationship between capacitance, voltage, charge, and electric field.
1. The magnitude of charge accumulated on each plate of a capacitor can be determined by using the formula: Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.
2. To find the charge accumulated on each plate when the plates are a distance d=0.1cm apart, we first calculate the capacitance using the formula: C = (ε₀A) / d, where ε₀ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates.
The area of each plate can be calculated using the formula: A = πr², where r is the radius of the circular plates.
Then, substituting the values into the formula, we can find the capacitance C.
Finally, we can use the formula Q = CV and substitute the values of C and V (12V) to calculate the charge Q accumulated on each plate.
3. When the distance between the plates is changed to d=0.2cm, the capacitance C will change as well. We can repeat the steps mentioned in point 2 to calculate the new capacitance C.
4. The value of the electric field E between the two plates can be calculated using the formula: E = V/d, where V is the voltage across the plates and d is the distance between them.
5. To calculate the electron's acceleration, we need to use the formula: F = ma, where F is the force experienced by the electron, m is the mass of the electron (9.11 × 10⁻³¹ kg), and a is the acceleration.
The force on the electron can be calculated using the formula: F = qE, where q is the charge of the electron and E is the electric field between the plates.
Once the force is known, we can rearrange the formula F = ma to solve for acceleration a.
6. The magnitude of the force experienced by the electron can be calculated using the formula: F = qE, where q is the charge of the electron and E is the electric field.
Substituting the values of q and E into the formula, we can determine the magnitude of the force.
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