A parallel circuit has 2 light bulbs that each have a resistance, R1 = 34.2
Ω
, R2 = 66.7
Ω
. What is the total resistance of this circuit?

Question

A parallel circuit has 2 light bulbs that each have a resistance, R1 = 34.2 
Ω
 , R2 = 66.7 
Ω
 . What is the total resistance of this circuit?

BlackTom AI · Accepted Answer

Let me restate the problem: We have a parallel circuit with two resistors, R1 = 34.2 Ω and R2 = 66.7 Ω, and we need the total (equivalent) resistance.

In a parallel circuit, the reciprocals of the resistances add: 1/R_total = 1/R1 + 1/R2.

Compute each reciprocal:
- 1/R1 = 1 / 34.2 ≈ 0.02924 Ω⁻¹
- 1/R2 = 1 / 66.7 ≈ 0.01499 Ω⁻¹

Add them: 1/R_total ≈ 0.02924 + 0.01499 ≈ 0.04423 Ω⁻¹

Now take the reciprocal to find the total resistance: R_total ≈ 1 / 0.04423 ≈ 22.61 Ω.

A quick consistency check: in parallel, the total resistance should be less than the smallest individual resistor (which is 34.2 Ω); 22.61 Ω satisfies this, confirming the result.

Answer consideration: The calculation relies on the parallel resistance formula and standard rounding rules based on the given significant figures (the result 22.61 Ω reflects typical rounding from the intermediate sums to three or four significant figures).

Physics 1 Hon - Bowles - p06/p07 P10.15 Lesson 4 - Exit Ticket

A parallel circuit has 2 light bulbs that each have a resistance, R1 = 34.2 Ω , R2 = 66.7 Ω . What is the total resistance of this circuit?

查看解析

登录即可查看完整答案

类似问题

The equivalent resistance of a 10 Ω resistor and a 30 Ω resistor connected in parallel is

There is a circuit with just one 3 ohm resistor. There is another circuit with three 3 ohm resistors in parallel. What has greater resistance?

If three resistors are all connected in parallel, find the total resistance in the circuit. R1 = 45Ω, R2 = 2Ω and R3 = 7Ω. Answer to 1 decimal place and only put in the numerical value. Do not write the unit in your answer.

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单