The power dissipated in a resistor is given by P=V2/R , which means power decreases if...

The power dissipated in a resistor is given by P=V2/R , which means power decreases if resistance increases. Yet this power is also given by P=I2R , which means power increases if resistance increases. Explain why there is no contradiction here.

Expert Solution

genius_generous answered 2 years ago

The power dissipated in a resistor is given by P = V 2 / R ,...

The power dissipated in a resistor is given by P = V 2 / R , which means power decreases if resistance increases. Yet this power is also given by P = I 2 R , which means power increases if resistance increases. Explain.

P = Power, V = Voltage, I = Current, and R = Resistance. Which of the...

P = Power, V = Voltage, I = Current, and R = Resistance. Which of the following relations is incorrect? Choices: V = I R P = V R P = VI I = V/R

In the given circuit an inductor of L = 8.95-mH and a resistor of R =...

In the given circuit an inductor of L = 8.95-mH and a resistor of R = 17.9-Ω resistor are connected in series with a dc battery of E = 8.80-V. What is the voltage across the resistor immediately after the switch is closed? What is the voltage across the resistor after the switch has been closed for a long time? What is the current in the inductor after the switch has been closed for a long time?

Which of the following statements is (are) not true? a) The power of the test decreases...

Which of the following statements is (are) not true? a) The power of the test decreases as the level of significance decreases. b) The probability of committing a Type I error and the level of significance are the same and the power of the test decreases as the level of significance decreases. c) The probability of committing a Type I error and the level of significance are the same. d) The probability of committing a Type I error increases as...

Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 =...

Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 = (4.0, 260°). Find the sum V1 + V2 in polar coordinates. Give the answer to 2 significant figures for the magnitude and to the nearest degree in angle. Hint: first convert the vectors to Cartesian form and add them to get the resultant vector. Then convert this resultant vector to polar form

Solve the given differential equation by means of a power series about the given point x0....

Solve the given differential equation by means of a power series about the given point x0. Find the recurrence relation; also find the first four terms in each of two linearly independent solutions (unless the series terminates sooner). If possible, find the general term in each solution. . y′′ − xy′ − y = 0, x0 = 1

Pressure decreases with height y in the atmosphere at a rate given by p = p0e−αy...

Pressure decreases with height y in the atmosphere at a rate given by p = p0e−αy , where α = 0.116 km−1 . For air, γ = Cp/CV = 1.4. (a) If the temperature of the air on the ground is 293 K, find what the temperature at an altitude of 1 km would be if temperature changes at an adiabatic rate. (b) If the actual temperature at that altitude is 285 K, would there be upward convection or would...

The power usage (P = (E^2)/R) of a strip heater is to be determined by measuring...

The power usage (P = (E^2)/R) of a strip heater is to be determined by measuring heater resistance and heater voltage drop simultaneously. The resistance is to be measured using an ohmmeter having a resolution of 1 Ohm and an error stated to be within 1% of its reading, and voltage is to be measured using a voltmeter having a resolution of 1 V and a stated error of 1% of reading. It is expected that the heater will have...

3. Let P be an nxn projection matrix (which means that it satisfies P2=P and PT=P)....

3. Let P be an nxn projection matrix (which means that it satisfies P2=P and PT=P). The goal of this problem is to show that P as a linear transformation is the orthogonal projection onto the range of P. (a) Show that if v is in the range of P, then Pv=v. (b) Show that if v is orthogonal to the range of P then Pv=0. (Hint: PPv lies in the range of P, hence is orthogonal to v. Study...

Given the pseudocode for Binary Search Algorithm as below: BinarySearch(A, p, r, V) if p...

Given the pseudocode for Binary Search Algorithm as below: BinarySearch(A, p, r, V) if p < r q = (p + r)/2 if V = A[q] return q else if V > A[q] return BinarySearch(A, q+1, r, V) else return BinarySearch(A, p, q-1) else if p = r, if V = A[p] return p else return -1 return -1 end function Using this pseudocode, write a function for BinarySearch and also complete the program, by...

Question