Answer:
The internal resistance of the cell is 0.051 ohm.
Explanation:
Given;
emf of the battery, E = 12 V
terminal voltage of the cell, V = 8.2 V
current in the circuit, I = 75 A
let the potential drop of the cell due to internal resistance (r) = Ir
The internal resistance of the cell is calculated from the equation below;
E = V + Ir
where;
r is the internal resistance of the cell
![Ir = E - V\\\\r = \frac{E-V}{I} \\\\r = \frac{12-8.2}{75} \\\\r = 0.051 \ ohm](https://tex.z-dn.net/?f=Ir%20%3D%20E%20-%20V%5C%5C%5C%5Cr%20%3D%20%5Cfrac%7BE-V%7D%7BI%7D%20%5C%5C%5C%5Cr%20%3D%20%5Cfrac%7B12-8.2%7D%7B75%7D%20%5C%5C%5C%5Cr%20%3D%200.051%20%5C%20ohm)
Therefore, the internal resistance of the cell is 0.051 ohm.
Answer:
Proportional
Explanation:
The conditions that must be met to produce SHM are;
-The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction.
- The frequency of oscillation does not depend on the amplitude.
Answer:
Capacitance, C = 26.1 picofarad
Explanation:
It is given that,
Side of square, x = 4.3546 cm = 0.043546 m
Distance between electrodes, d = 0.6408 mm = 0.0006408 m
Voltage, V = 73.68 V
Capacitance of parallel plates is given by :
![C=\dfrac{\epsilon_oA}{d}](https://tex.z-dn.net/?f=C%3D%5Cdfrac%7B%5Cepsilon_oA%7D%7Bd%7D)
![C=\dfrac{8.85\times 10^{-12}\times (0.043546)^2}{0.0006408}](https://tex.z-dn.net/?f=C%3D%5Cdfrac%7B8.85%5Ctimes%2010%5E%7B-12%7D%5Ctimes%20%280.043546%29%5E2%7D%7B0.0006408%7D)
![C=2.61\times 10^{-11}\ F](https://tex.z-dn.net/?f=C%3D2.61%5Ctimes%2010%5E%7B-11%7D%5C%20F)
or
C = 26.1 picofarad
So, the capacitance of the capacitor is 26.1 picofarad. Hence, this is the required solution.