Complete Question
A wave is described by y(x,t) = 0.1 sin(3x + 10t), where x is in meters, y is in centimetres and t is in seconds. The angular wave frequency is
Answer:
The value is
Explanation:
From the question we are told that
The equation describing the wave is y(x,t) = 0.1 sin(3x + 10t)
Generally the sinusoidal equation representing the motion of a wave is mathematically represented as
Where w is the angular frequency
Now comparing this equation with that given we see that
Answer:
Explanation:
<u>Capacitance</u>
A two parallel-plate capacitor has a capacitance of
where
A = area of the plates =
d = separation of the plates
We need to compute C. We'll use the circuit parameters for that. The reactance of a capacitor is given by
where w is the angular frequency
Solving for C
The reactance can be found knowing the total impedance of the circuit:
Where R is the resistance, . Solving for Xc
The magnitude of the impedance is computed as the ratio of the rms voltage and rms current
The rms current is the peak current Ip divided by , thus
Now collect formulas
Or, equivalently
The capacitance is now
The radius of the plates is
The separation between the plates is