(c31p54) In the diagram is shown an RL circuit with a switch. ? = 105.0 V , R 1
ID: 1374215 • Letter: #
Question
(c31p54) In the diagram is shown an RL circuit with a switch. ? = 105.0 V, R1 = 50.0 ?, R2 = 100.0 ? and L = 65.0 H. Find the values of i1, the current through resistor R1and i2, the current through resistor R2, the current through the switch, the potential difference across R2, the potential difference across L and the rate of change of the current di2/dt in the time just after the closing of the switch.
What is i1 just after the switch is closed?
What is i2 just after the switch is closed?
What is the value of the current in the switch just after the switch is closed?
What is the the potential difference across R2 just after the switch is closed?
What is the the potential difference across L just after the switch is closed?
What is the rate of change of the current di2/dt in the time just after the closing of the switch?
What is i1 a long time after the switch is closed?
What is i2 a long time after the switch is closed?
What is the value of the current in the switch a long time after the switch is closed?
What is the the potential difference across R2 a long time after the switch is closed?
What is the the potential difference across L a long time after the switch is closed?
What is the rate of change of the current di2/dt a long time after the closing of the switch?
Tries 0/99 (c31p54) In the diagram is shown an RL circuit with a switch. ? = 105.0 V, R1 = 50.0 ?, R2 = 100.0 ? and L = 65.0 H. Find the values of i1, the current through resistor R1and i2, the current through resistor R2, the current through the switch, the potential difference across R2, the potential difference across L and the rate of change of the current di2/dt in the time just after the closing of the switch. What is i1 just after the switch is closed? Tries 0/99 What is i2 just after the switch is closed? Tries 0/99 What is the value of the current in the switch just after the switch is closed? Tries 0/99 What is the the potential difference across R2 just after the switch is closed? Tries 0/99 What is the the potential difference across L just after the switch is closed? Tries 0/99 What is the rate of change of the current di2/dt in the time just after the closing of the switch? Tries 0/99 What is i1 a long time after the switch is closed? Tries 0/99 What is i2 a long time after the switch is closed? Tries 0/99 What is the value of the current in the switch a long time after the switch is closed? Tries 0/99 What is the the potential difference across R2 a long time after the switch is closed? Tries 0/99 What is the the potential difference across L a long time after the switch is closed? Tries 0/99 What is the rate of change of the current di2/dt a long time after the closing of the switch? Tries 0/99Explanation / Answer
Inductor resists change in current or we can say that current through inductor cannot change instantaneously. so just after switch is closed so current through inductor will be zero.
so i2 = 0
i1= i = E / R1 = 105/50 = 2.1 A
Potential across R2 = 0
POtential Across L = the pd across L at the moment the switch is closed is 105v. This is because at this time the current through L and therefore also through R2 is assumed to be zero. Therefore the pd across R2 is zero and the full supply voltage appears across L
di2 / dt = V /L = 105 / 65 = 1.62 A/s
After long time ,
potential across R1 will be 105 Volt.
so i1 = 105/50 = 2.1A
i2 = 105 / R2 =105/ 100 = 1.05 A
i1 = i1 + i2 = 3.05 A
potential across L = 0
di2/dt = 0
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