When a capacitor is placed in an alternating-current (AC) circuit, the charge on its plates varies with time according to the function shown below. q(t) = 59cos(1880 · t) µC (Here t is in seconds.) What is the current i(t) flowing through this capacitor as a function of time? [N.B.: Note the power-of-ten prefixes on the units!]

Q: Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = h, R…

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Q: If the battery in the circuit below is 9.78V, resistor R₁-217.51, and resistor R₂=160.920, what is…

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Q: R1 IR3 IR1 Ir2 = 2.0A %3D R2 R3 V1 = 6.0V V2

A: I2 = 2 AR2 = 4 ohm V1 = 6 v R1 = 2 ohm R3 = 5 ohm

Q: If the battery in the circuit below is 9.77V, resistor R1=83.862, and resistor R2=59.65N, what is…

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Q: The capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s.…

A: Voltage, V = 30 VC = 3 FR = 2 ohmCurrent at t = 7.5 s is to be calculated.

Q: The capacitor in the circuit shown below is initially uncharged. The switch is closed at t=0 s.…

A: The voltage of the battery is The capacitance of the capacitor is The resistance of the resistor is…

Q: Consider the circuit shown below. Battery emf is = 16V and the resistances are R₁ = 1892, R₂ = 902…

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Q: The charge of the capacitor, the current in the circuit, and, correspondingly, the voltages across…

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Q: Nichrome wire (ρ = 150 x 10-8 Ω.m) of cross-sectional radius 0.156 mm is to be used in winding a…

A: Given, Area, A=0.156 mm=0.000156 m, current, I= 2.35 A, voltage, V= 220 V, and resistivity of…

Q: In the circuit to the right, E = 1.2kV, C = 6.5 μF, and R₁ = R₂ = R3 = R = 0.73 M. With C completely…

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Q: The current in a circuit is given by i=3e−t(e−t−5)2. Find the expression for the total electric…

A: The rate of flow of charge is called electric current.  i = dqdt where, q is the charge and t is the…

Q: You connect a battery, resistor, and capacitor as in (Figure 1), where E = 46.0 V, C = 5.00 μF, and…

A: Given: Battery voltage E = 46.0 V Capacitance C = 5.0 µF Resistance R = 130 Ω

Q: The amount of charge flowing through a particular conducting wire is represented by the equation q…

A: charge through a wire is given by :q(t) = at3 + bt2 + c a = 5 A/s2b = 3 A/s At t= 0.9 seconds ,…

Q: Apply the loop rule to loop 2 (the smaller loop on the right). Sum the voltage changes across each…

A: According to Ohm’s law, the voltage drop across any resistance is given as, According to…

Q: The current in an electric circuit rises exponentially as given by i = 10(1 − e-5t)A. Calculate the…

A: Given The current in the circuit is i i = 10(1 − e-5t) To find the charge in circuit in time t=200…

Q: In the circuit below the value of the resistance 4.2 Ω and the value of the capacitance is 2.0 µF.…

A: Given, An RC circuit. The circuit is closed at t=0.Resistance (R) = 4.2 ΩCapacitance (C) =2 μF =…

Q: Two resistors are connected in parallel with an 43 volt battery. The resistors have values of R1 =…

A: Given data:  Battery voltage (V) = 43 V Two resistors are connected in parallel combination R1 = 32…

Q: For the circuit shown in Fig.1 below, C1 = 5μF, C2 = 4μF, C3 = 6μF and ∆V = 65V. Find: (a) the…

A: The capacitance of the capacitors are  C1 = 5μF, C2 = 4μF, C3 = 6μF. The supply potential difference…

Q: 2. In the following circuit, the capacitor is initially discharged and R is 250kQ. How long after…

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Q: In the circuit shown in figure 1, epsilon is equal to 41.0 V, R1= 4 ohms, R2= 6 ohms, and R3= 3…

A: Here the circuit is given. There are three resistance. R1= 4 ohm, R2= 6 ohm and R3= 3 ohm There also…

Q: Consider the circuit shown in the figure, where &₁ = 25.7 V, E₂ = 12.3 V, and R = 11.00. (Due to the…

A: Givenε1=25.7 Vε2=12.3 VR=11 ΩBy Kirchoff current law we haveI1+I2=I3Now using KVL in top loop…

Q: The switch in the circuit below has been open for a very long time. If L is 8.04 Henries, the…

A: The current I2 at the moment switch is closed is 0.63 Amperes.

Q: Using Kirchhoff's rules, find the following. (ℰ1 = 71.0 V, ℰ2 = 61.4 V, and ℰ3 = 78.8 V.) A circuit…

A: ℰ1 = 71.0 V, ℰ2 = 61.4 V, and ℰ3 = 78.8 V

Q: Two identical resistors of R0 = 71 Ω are connected head-to-tail. (a)  Express the resistance R0 of…

A: a)The relation between resistance, resistivitylength & cross sectional area isRo=ρLA

Q: he capacitor in the circuit shown below is initially uncharged. The swit 0 μF, and R = 2.0 Q. At…

A: The voltage provided by the battery,                        Capacitance,…

Q: We would like to use the relation V(t)=I(t)R to find the voltage and current in the circuit as…

A: The expression for the charge stored in the capacitor is given as, q(t) = CV(t) Differentiating the…

Q: I need a labled schematic on paper of the circuit showing + and - terminals of the battery, the…

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Q: current of I = 4.6 A passes through the circuit shown, where R = 21 Ω. a) In terms of R, I, and…

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Q: The voltage across a 2.5-µF capacitor in a copying machine is zero. What is the voltage after 15 ms…

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Q: An electric water heater is designed to produce 48 kWkW of heat when it is connected to a 240-V…

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Q: The charge on a capacitor in a circuit is modeled as Q(t) = Qmax cos (ωt + ϕ). What is the current…

A: It is known that current is defined as rate of flow of charge through a circuit . So, when a charged…

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.