this can be done using 3 op-amps in series.inthe 1st one connect a capacitor for feedback with a key across its end to charge and discharge it.in 2nd cnect capacitor across 2-6 and across its ends connect batery with akey in sereis.in 3rd just connect r for feedbak.conect o/p of final to 1st opamp through R.take o/p across final 6and ground
Because an inductor resists a change in current. The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current is proportional to voltage and inversely proportional to inductance. Solve the differential equation in a sinusoidal forcing function and you get inductive reactance being ...XL = 2 pi f L
The equation of an inductor is ...di/dt = L / V... which means that the rate of change of current is proportional to voltage and inversely proportional to inductance.Set this up in a sinusoidal forcing circuit and solve the differential equation, or use phasors, and you get ...XL = 2 pi f L... which means that inductive reactance is proportional to both frequency and inductance by the factor of 2 pi.I have not included the derivation, because I don't know how to do it, and it does not seem necessary. If someone wants to provide one, please feel free to refine the answer.
Generally,1. Convert parallel branches into series equivalents2. Solve for the total resistance3. Solve for individual voltages4. Solve for individual currents5. Solve for power
Lets work the mathematics:Power equation, P = VIOhm's law, R = V/ICombine these equations to solve for current:P/I = VR = P/I2I2 = P/RI = (P/R)-2Substituting and solving:I = (0.5 / 2200)-2 = 15mAI = 15mA
P = IV Where: P = power in watts, I = Current, and V= Voltage Using ohms law: V = IR where V=Voltage, I = Current, and R= Resistance First solve for I, I = V/R, 12/30 = .4 Then use the power equation: P = .4*12 = 4.8 Watts
In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).
There are many kinds of differential equations and their solutions require different methods.
The parabolic heat equation is a partial differential equation that models the diffusion of heat (i.e. temperature) through a medium through time. More information, including a spreadsheet to solve the heat equation in Excel, is given at the related link.
I assume that you mean that you are given a differential equation dy/dx and want to solve it. If that is the case, then you would multiply by dx on both sides and then integrate both the left and right sides of the equation.
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This equation is unsolvable since there are two unknowns and only one equation. You would require a second equation in order to solve it.
The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
Another method to solve differential equation is taking y and dy terms on one side, and x and dy terms on other side, then integrating on both sides.This is a general solution. So if we want to particular solution we choose initial conditions.
z=pq
Monge's method, also known as the method of characteristics, is a mathematical technique used to solve certain types of partial differential equations. It involves transforming a partial differential equation into a system of ordinary differential equations by introducing characteristic curves. By solving these ordinary differential equations, one can find a solution to the original partial differential equation.
isolate the variable