In: Physics
5. a)Which component offers a measureable resistance to the circuit: Resistor or Capacitor?
b) Let's say you measure t1/2 to be 0.3018 seconds
and the resistance in the circuit is 68 Ohms. Then what is the
capacitance in micro Farads?
answer in micro Farads.
c) t1/2 means that the voltage (or charge) of the
system will increase to half more of what is left in a time equal
to t1/2 seconds.
Therefore if a system is already at half charge (t1/2
seconds after starting) then after t1/2 more seconds the
system will be charged to 50% plus half of 50%. That is 25% more,
or 75% of the entire charge. Let's say that four t1/2's
have gone by. That means that the charge (or voltage) is at (50% +
1/2*50% + 1/2*1/2*50% + 1/2*1/2*1/2*50%) = 93.75% of maximum
charge.
Yikes! Now look in your manual for a more simple mathematical
derivation of this concept.
Given t1/2 to be 0.9653 seconds, how long should it
take to reach 75% of maximum charge?
answer in seconds.
Answers: (a). Resistance.
(b). Capacitance of the circuit =
(c). Time taking to reach 75% of the maximum charge = 1.9325s
Explanation: