Let A→=(150iˆ+270jˆ) mm , B→=(300iˆ−450jˆ) mm , and C→=(−100iˆ−250jˆ) mm . Find scalars r and s, if possible, such that R→=rA→+s
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Answer:
Explanation:
<u>a)</u>
<u>Identify the unknown: </u>
The charge and energy stored if the capacitors are connected in series
<u>List the Knowns: </u>
Capacitance of the first capacitor: = 2цF = 2 x 10-6 F
Capacitance of the second capacitor = 7.4цF = 7.4 x 10-6 F
Voltage of battery: V = 9 V
<u>Set Up the Problem: </u>
Capacitance of a series combination:
+............
Capacitance of a series combination is given by:
Then the charge stored in the series combination is:
Energy stored in the series combination is:
<u>Solve the Problem: </u>
<u>b)</u>
<u>Identify the unknown: </u>
The charge and energy stored if the capacitors are connected in parallel
<u>Set Up the Problem: </u>
Capacitance of a parallel combination:
Capacitance of a parallel combination is given by
Then the charge stored in the parallel combination is
Energy stored in the parallel combination is:
<u>Solve the Problem: </u><em> </em>