A circuit has in series an electromotive force given by E(t) = 80
A circuit has in series an electromotive force given by E(t) = 80; a resistor of 2 ohms, an inductor of 1 H, and a capacitor of 0.5 F. It the initial charge and the initial current are 0, find the charge at any time t.
Homework Answers
Differential Equations An electromotive force E(t), LR-series, Find the current i(t)
Differential Equations
An electromotive force E(t), LR-series, Find the current
i(t)
An electromotive force E(t) defined as shown in the figure below E(t) 20 is applied to an LR-series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Find the current i(t), over the time interval 0 S t <3 ifi(0) - 0. the current i(t), over the time interval 0 t <3 if i(0) - 0 Hint Use the power series representation:-= 1-X +...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of 245 Q, an inductor of 7 H, and a capacitor of 0.05 F. If the initial current is zero and the initial charge on the capacitor is 9 C, determine the current in the circuit for t> 0. |(t) = (Type an exact answer, using radicals as needed.)
A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1
A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 60 ohms. Find the current i(t) if i(0) = 0. Determine the current as t → ∞.A 100 volt electromotive force is applied to an RC series circuit in which the resistance is 500 ohms and the capacitance is 10-4 farad. Find the charge t on the capacitor if q(0) = 0.
Solve it as shown but use these values instead: An RLC series circuit has a voltage...
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of Rohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 8 = E(t). Since I we have er et de 2 – EC). ae dt Suppose the resistance is 3082, the capacitance...
An electrical circuit contains an electromotive force
An electrical circuit contains an electromotive force \(E\) (supplied by a battery or generator), a resistor \(R\), an inductor \(L\), and a capacitor \(C\), in series. If the charge on the capacitor at time \(t\) is \(Q-Q(t)\), then the current is the rate of change of \(Q\) with respect to \(t: I=\frac{H Q}{d w}\). Kirchhoff s voltage law gives the supplied voltage as:$$ L \frac{d i}{w}+R t+\frac{R}{E}=E(t) $$Since \(I=\frac{1}{1}\), the differential equation becomes:$$ L Q^{\prime \prime}+R Q^{\prime}+\frac{1}{c} Q=E(0) $$with initial...
An electromotive force 300, 0 sts 50 0, E(t) = t 50 is applied to an LR-series circuit in which the inductance is 50 he...
An electromotive force 300, 0 sts 50 0, E(t) = t 50 is applied to an LR-series circuit in which the inductance is 50 henries and the resistance is 5 ohms. Find the current i(t) if i(0) = 0. , 0 sts50 i(t)= t 50
An electromotive force 300, 0 sts 50 0, E(t) = t 50 is applied to an LR-series circuit in which the inductance is 50 henries and the resistance is 5 ohms. Find the current i(t)...
In which case an electromotive force is consuming electrical energy from the electrical circuit?
14 In which case an electromotive force is consuming electrical energy from the electrical circuit? Electromotive force is always consuming electrical energy from the electrical circuit. When the electrical current is passing through the electromotive force from its negative to positive terminals. Electromotive force is always producing electrical energy to the electrical circuit. When the electrical current is passing through the electromotive force from its positive to negative terminals.15. A capacitor of capacitance C, has initially a charge Q. is connected to a resistor of resistance...
Problem 1. 15 points) switch The figure above shows a circuit containing an electromotive force in...
Problem 1. 15 points) switch The figure above shows a circuit containing an electromotive force in battery), a capacitor with a capacitance of forede (F), and a resistor with a resistance of Rohms (1) The voltage drop across the capacitor in Olc, where is the charge in coulombs, so in this case Kirchhoff's Law gives RI + Since the current is do di R0 = EU). Suppose the resistance is 309, the capacitance is 0.15F, a battery gives a constant...
An electromotive force _S210, Osts 50 10, t> 50 is applied to an LR-series circuit in...
An electromotive force _S210, Osts 50 10, t> 50 is applied to an LR-series circuit in which the inductance is 30 henries and the resistance is 3 ohms. Find the current i(t) if i(0) = 0. ,osts 50 i(t) = t> 50
Differential Equations
An electromotive force E(t), LR-series, Find the current
i(t)
An electromotive force E(t) defined as shown in the figure below E(t) 20 is applied to an LR-series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Find the current i(t), over the time interval 0 S t <3 ifi(0) - 0. the current i(t), over the time interval 0 t <3 if i(0) - 0 Hint Use the power series representation:-= 1-X +...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of 245 Q, an inductor of 7 H, and a capacitor of 0.05 F. If the initial current is zero and the initial charge on the capacitor is 9 C, determine the current in the circuit for t> 0. |(t) = (Type an exact answer, using radicals as needed.)
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of Rohms (N). The voltage drop across the capacitor is where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 8 = E(t). Since I we have er et de 2 – EC). ae dt Suppose the resistance is 3082, the capacitance...
An electromotive force 300, 0 sts 50 0, E(t) = t 50 is applied to an LR-series circuit in which the inductance is 50 henries and the resistance is 5 ohms. Find the current i(t) if i(0) = 0. , 0 sts50 i(t)= t 50
An electromotive force 300, 0 sts 50 0, E(t) = t 50 is applied to an LR-series circuit in which the inductance is 50 henries and the resistance is 5 ohms. Find the current i(t)...
Problem 1. 15 points) switch The figure above shows a circuit containing an electromotive force in battery), a capacitor with a capacitance of forede (F), and a resistor with a resistance of Rohms (1) The voltage drop across the capacitor in Olc, where is the charge in coulombs, so in this case Kirchhoff's Law gives RI + Since the current is do di R0 = EU). Suppose the resistance is 309, the capacitance is 0.15F, a battery gives a constant...
An electromotive force _S210, Osts 50 10, t> 50 is applied to an LR-series circuit in which the inductance is 30 henries and the resistance is 3 ohms. Find the current i(t) if i(0) = 0. ,osts 50 i(t) = t> 50
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