Question: The electric power P (in W) dissipated in a resistance R (in ) is given by P = Ri 2 , where i is the

The electric power P (in W) dissipated in a resistance R (in Ω) is given by P = Ri², where i is the current (in A) in the resistor. Find the equation for the total power of 64 W dissipated in two resistors, with resistances 2.0 Ω and 8.0 Ω, respectively, and with currents i₁ and i₂, respectively. Sketch the graph, assuming that negative values of current are meaningful.

Step by Step Solution

★★★★★

3.53 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

ANSWER To find the equation for the total power dissipated in the two resistors we need to first find the current flowing through each resistor From O... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

The electric power P (in W) dissipated in a resistor of resistance R (in) is given by the function Because P = f (R), find f (R + 10) and f(10R). P = 200R (100+ R)

Find a mathematical model for the verbal statement. 1. A varies directly as the square of r. 2. V varies directly as the cube of l. 3. Y varies inversely as the square of x. 4. H varies inversely as...

The position of an object mov- ing along an r axis is given by r = 3t 4t2 + t, where r is in meters and t is in seconds. i What is the object displacement between t = 3 s and t = 4 s? ii What is its...

The electric power p (in W) dissipated in a resistor is given by p = Ri 2 , where R is the resistance (in ) and i is the current (in A). For a given resistor, R = 12.0 , and the power varies between...

49r The electric power P (in W) produced by a certain battery is given by P = W where r is the resistance in the circuit. For what value of r is the power a r+ . maximum? r = (Simplify your answer.)

81 r The electric power P (in W) produced by a certain battery is given by P = W, where r is the resistance in the r + . circuit. For what value of r is the power a maximum? r=D (Simplify your...

Submit tes point(s) possible 49r The electric power P (in W) produced by a certain battery is given by P = where r is the resistance in the circuit. For what value of r is the power (r+ 0.9)2 a...

64r The electric power P (in W) produced by a certain battery is given by P = (r + 0.8)2 where r is the resistance in the circuit. For what value of r is the power a maximum? r= (Simplify your...

144r The electric power P (in W) produced by a certain battery is given by P = , where r is the (r + 0.5)2 resistance in the circuit. For what value of r is the power a maximum? r=D (Simplify your...

The managers at KFS have heard that corporate governance can affect shareholder value. List for them the three mechanisms of corporate governance. MINI CASE You have been hired as a consultant to...

A random sample of n = 25 is obtained from a population with variance 2, and the sample mean is computed. Test the null hypothesis H0: = 100 versus the alternative hypothesis H1: > 100 with =...

Impact on ROE if selling assets above net book value

1 Even if an LPs initial tableau is nondegenerate, later tableaus may exhibit degeneracy. Degenerate tableaus often occur in the tableau following a tie in the ratio test. To illustrate this, solve...

Let U = {x|x N and x

Fill in the blanks with an appropriate word, phrase, or symbol(s). In the numeral 234, the 3 represents 3 __________.

6. Suppose the standard for a given cost during a period was $80,000. The actual cost for the period was $72,000. Under what circumstances would you consider the variance from budget to be a positive...

The balance of the Provision for Depreciation account is shown on the Trial Balance as a credit ? 1. true 2. false

Required information Problem 10-2A Record equity transactions and indicate the effect on the balance sheet equation (L010-2, 10-3, 10-4, 10-5) {The following information applies to the questions...