Exercise d: ELECTRIC CIRCUITS GIVEN: R = 10 ohms, L = 0.1 henry, microFarad C = 250 Determine the current I and the charge Q at anytime t 1.)E= = 24 volts 2.)E 110 sin400t volts = E (volts) EMF ER (volts) Voltage drop due to resistance Ę₁ (volts) Voltage drop due to inductance Ec (volts) Voltage drop due to capacitance
Exercise d: ELECTRIC CIRCUITS GIVEN: R = 10 ohms, L = 0.1 henry, microFarad C = 250 Determine the current I and the charge Q at anytime t 1.)E= = 24 volts 2.)E 110 sin400t volts = E (volts) EMF ER (volts) Voltage drop due to resistance Ę₁ (volts) Voltage drop due to inductance Ec (volts) Voltage drop due to capacitance
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Nonhomogeneous Linear Differential Equation
➢ ELECTRIC CIRCUITS
Transcribed Image Text:Exercise d: ELECTRIC CIRCUITS
GIVEN:
R = 10 ohms,
L = 0.1 henry,
microFarad
C = 250
Determine the current I and
the charge Q at anytime t
1.)E = 24 volts
2.)E 110 sin400t volts
=
E (volts)
EMF
ER (volts)
Voltage drop due
to resistance
Ę₁ (volts)
Voltage drop due
to inductance
Ec (volts)
Voltage drop due
to capacitance
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Step 1: Given data and to determine:
VIEWStep 2: Applying kirchoff's voltage law to the circuit
VIEWStep 3: First solving for homogeneous equation i.e basically complementary function evaluation
VIEWStep 4: solving for particular integral
VIEWStep 5: final answer for charge and current as function of time
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