Question 4: An attenuator probe employed with oscilloscopes was designed to reduce the magnitude of the input voltage ( v_{i} ) by a factor of 10. As shown in Figure Q4, the oscilloscope has internal resistance ( R_{s} ) and capacitance ( C_{s} ), while the probe has an internal resistance ( R_{p} ). (a) Derive the circuit differential equation with the output voltage ( v_{o} ) as the variable; (b) If ( R_{p} ) is fixed at 6 ( MOmega ) ( (6 imes 10^{6} Omega) ), find ( R_{s} ) and ( C_{s} ) for the circuit to have a time constant of 15 ( mu s ) ( (15 imes 10^{-6} ext{ seconds}) ). Figure Q4
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The circuit consists of a series resistor \( R_p \) (probe resistance) and a parallel combination of \( R_s \) (scope resistance) and \( C_s \) (scope capacitance). Show moreā¦
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Sam S.
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A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 49 Ī©, R3 = 63 Ī© and R4 = 111 Ī©. The capacitance is C = 33 Ī¼F and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is I4(0), the magnitude of the current through the resistor R4 just after the switch is closed? 0.064 A Submit 2) What is Q(ā), the charge on the capacitor after the switch has been closed for a very long time? 112 Ī¼C Submit 3) After the switch has been closed for a very long time, it is then opened. What is Q(topen), the charge on the capacitor at a time topen = 619 Ī¼s after the switch was opened? 94.7 Ī¼C Submit 4) What is IC,max(closed), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is closed? A positive value for the current is defined to be in the direction of the arrow shown. A Submit 5) What is IC,max(open), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is open? A positive value for the current is defined to be in the direction of the arrow shown. A Submit
Hafiz S.
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