Chapter 18. Capacitor charge and current in a charging series RC circuit (18-27)

Question

HML0f8LuU1DHipDAKxRhWsr2P+bda8bQGHYNuypsXak684HArd65iznXoWg=
{"title":"Capacitor charge as a function of time","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,286,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,211,247\"}]"} {"title":"Resistance","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Incorrect","type":"incorrect","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Question

3Mg0S9rqmYTdA2gRUxKQpA==
{"title":"Capacitor charge as a function of time","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,287,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,211,247\"}]"} {"title":"Resistance","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Incorrect","type":"incorrect","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Question

brea+3A/zuFcPHEvk+M4lq6/Ig2HIwCvlWwfJbKYIt19cvwP1N98eIoaHDvF17+mbjGNgCep6cjw471YHDU8TOGEMdZiNy0pE2lDqkrlhVIddEN5PwpDTISQSEV90Wdfj8K+EeUGS6KvYqD5g+eBEoiqSDc=
{"title":"Capacitor charge as a function of time","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,288,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,210,247\"}]"} {"title":"Resistance","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Incorrect","type":"incorrect","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Question

W/3SE0rc2eif6b/4aedW3w==
{"title":"Capacitor charge as a function of time","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,287,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,212,247\"}]"} {"title":"Resistance","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Incorrect","type":"incorrect","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Question

4+dQdRn9ms1LoPwIR6Hy6g==
{"title":"Capacitor charge as a function of time","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,287,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,214,247\"}]"} {"title":"Resistance","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Correct!","type":"correct","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Incorrect","type":"incorrect","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Question

9mKgDZ+KTFej+uYFKKPyXy652gPlm9EJqkXVwAQ9O5mFSR7o
{"title":"Capacitor charge as a function of time","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,22,21,50\"}]"} {"title":"Capacitance","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"94,14,120,44\"}]"} {"title":"The product RC (resistance multiplied by capacitance) is the time constant of the circuit.","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"253,9,288,34\"},{\"shape\":\"rect\",\"coords\":\"175,222,211,247\"}]"} {"title":"Resistance","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"97,253,124,287\"}]"} {"title":"Source emf","description":"Wrong","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"101,214,119,239\"},{\"shape\":\"rect\",\"coords\":\"119,23,136,46\"}]"} {"title":"Current as a function of time","description":"Correct!","type":"correct","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"5,228,18,260\"}]"}

Review

Figure 18-18 graphs the charge \(q\) and current \(i\) as given by Equations 18­-27. Both of these equations involve the exponential function, the irrational number \(e = 2.71828\ldots\) raised to a power. (Note that \(e\) is not the same as the magnitude of the charge on the electron, for which we unfortunately use the same symbol.)