Question

Total resistance of four similar bulbs in parallel is 75 Ohm. What is the resistance of one bulb? (2 points) a. 300 Ohm b. 18.75 Ohm c. 75 Ohm d. 0.013 Ohm Explain your answer:

67

likes
333 views

Answer to a math question Total resistance of four similar bulbs in parallel is 75 Ohm. What is the resistance of one bulb? (2 points) a. 300 Ohm b. 18.75 Ohm c. 75 Ohm d. 0.013 Ohm Explain your answer:

Expert avatar
Esmeralda
4.7
101 Answers
1. When resistors (or bulbs) are connected in parallel, the total resistance can be found using the formula:
\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}

2. Since all the bulbs (resistors) are the same, let \( R \) be the resistance of one bulb. Therefore:
\frac{1}{R_{total}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} + \frac{1}{R}
or
\frac{1}{75} = \frac{4}{R}

3. Solving for \( R \):
\frac{4}{R} = \frac{1}{75}
R = 4 \times 75
R = 300 \, \Omega

Thus, the resistance of one bulb is 300 \, \Omega .

Frequently asked questions (FAQs)
What is the sum of the mixed numbers 3 and 1/2, 2 and 3/4, and 4 and 1/8?
+
What is the standard deviation of the data set: 5, 8, 12, 15, 20?
+
Math Question: What is the smallest value of n in Fermat's Theorem, satisfying the equation x^n + y^n = z^n, where x, y, and z are positive integers less than or equal to 100?
+
New questions in Mathematics
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
-8+3/5
X^2 = 25
The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
is the x element (180,270), if tanx-3cotx=2, sinx ?
Convert 78 percent to a decimal
78 percent to a decimal
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
Oi👋🏻 Toque em "Criar Nova Tarefa" para enviar seu problema de matemática. Um dos nossos especialistas começará a trabalhar nisso imediatamente!
Evaluate ab+dc if a=56 , b=−34 , c=0.4 , and d=12 . Write in simplest form.
6(k-7) -2=5
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
Suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero. How many different plates can be engraved? consider only 26 letters and 10 digits draw an example of this.