- #1
themonk
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Homework Statement
A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by V[tex]_{C}[/tex](t) = V[tex]_{C_0}[/tex] sin([tex]\omega[/tex]*t). (there are no superscripts, but they show up as super for me, though I wanted them to be subscripts)
If R=3 k Ohms , C=100 pF, V[tex]_{C0}[/tex]=100 mV, and angular frequency [tex]{\omega}[/tex]= 10^5 rad/s, what is V[tex]_{R}[/tex]?
Homework Equations
[tex]\frac{V_{C_{0}}{\cdot}R}{\frac{1}{C{\cdot}{\omega}}}[/tex]
The Attempt at a Solution
So I plugged in the variables with 3 k Ohms being 3000 [tex]\frac{m^{2}*kg}{s*C^{2}}[/tex], 100 pF being 1E-9 [tex]\frac{s^{2}*C^{2}}{m^{2}*kg}[/tex], 100 mV being 1 [tex]\frac{m^{2}*kg}{C*s^{2}}[/tex] and 10[tex]^{5}[/tex].
When I plugged it all into the equation I got .03 V which is 30 mV*rad. So first there was the problem of the radians being there there is no information about changing it into meters or other useful information. Do I need to use a trig function perhaps?
The hint I was given was : Use the equation obtained in Part B (the equation above) to work out the answer. Be careful of powers of ten in your calculation.
Thank you