A student constructs the following electronic circuit using an initially uncharged capacitor, resistor, battery and a switch. 12.0 V 2000μ F 100 2 (i) What is the purpose of the 12 V DC battery in the circuit? (ii) As soon as the switch in the Figure above is closed, will a current flow in the circuit? Explain your answer. If a current flows, sketch the graph of current vs time. Determine the time constant of the circuit. (iii) (iv) Determine the maximum charge on the capacitor. (v) Determine the current and charge as a function of time. (vi) Supposing the capacitor fully charges in 5 time-constants (i.e after 57), how much time elapses, in seconds, before the capacitor gets fully charged. (vii) On one pair of axes, plot graphs of voltage vs time across the resistor and across the capacitor. List any equations which relate to both graphs. Label the steady state and transient regions on the graph. Activato Wi

A student constructs the following electronic circuit using an initially uncharged capacitor, resistor, battery and a switch. 12.0 V 2000μ F 100 2 (i) What is the purpose of the 12 V DC battery in the circuit? (ii) As soon as the switch in the Figure above is closed, will a current flow in the circuit? Explain your answer. If a current flows, sketch the graph of current vs time. Determine the time constant of the circuit. (iii) (iv) Determine the maximum charge on the capacitor. (v) Determine the current and charge as a function of time. (vi) Supposing the capacitor fully charges in 5 time-constants (i.e after 57), how much time elapses, in seconds, before the capacitor gets fully charged. (vii) On one pair of axes, plot graphs of voltage vs time across the resistor and across the capacitor. List any equations which relate to both graphs. Label the steady state and transient regions on the graph. Activato Wi

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 94CP: Consider the circuit below, (a) What is the initial current through resistor R2? when the switch is...

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Consider the circuit below, (a) What is the initial current through resistor R2? when the switch is closed? (b) What is die current through resistor R2 when the capacitor is fully charged, long after die switch is closed? (c) What happens if the switch is opened after it has been closed for some rime? (d) If the switch has been closed for a time period long enough for the capacitor to become fully charged, and then the switch is opened, how long before the current through resistor R1 reaches half of its initial value?
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