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Electricity and Magnetism

Resistors

Concept Quizzes

Ohm's law
Energy dissipation by a resistor
Ohm's law (microscopic interpretation)
Problem solving - Circuit elements

Challenge Quizzes

Resistors: Level 1-3 Challenges

Energy dissipation by a resistor

If a current of $4.00\text{ A}$ flows in a copper wire with a cross-sectional area of $2.70 \times 10^{-6}\text{ m}^2$ and a length of $5.40\text{ m},$ approximately how much electrical energy is transferred to thermal energy in $15\text{ min}?$

The resistivity of copper is $1.69 \times 10^{-8}\,\Omega\cdot\text{m}.$

4.87 \times 10^2 \text{ J}

6.49 \times 10^2 \text{ J}

4.06 \times 10^2 \text{ J}

3.25 \times 10^2 \text{ J}

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by Brilliant Staff

Suppose that energy is dissipated at the rate of $P_1 = 0.600\text{ W}$ in a resistor which is connected between the terminals of a $V_1 = 4.20\text{ V}$ battery. If the same resistor is connected between the terminals of a $V_2 = 2.10\text{ V}$ battery, at what rate is energy dissipated?

0.300\text{ W}

0.600\text{ W}

0.450\text{ W}

0.150\text{ W}

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by Brilliant Staff

James dries his hair with a hair dryer every morning. The dryer uses $64 \text{ W}$ of power and the current supplied is $0.4 \text{ A}.$ What is the resistance of the dryer?

400 \ \Omega

200 \ \Omega

600 \ \Omega

800 \ \Omega

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by Brilliant Staff

A Nichrome wire that has a cross sectional area of $2.50 \times 10^{-6}\text{ m}^2$ is connected to a potential difference of $75.0\text{ V}.$ If the wire dissipates $4000\text{ W},$ what is its approximate length?

Nichrome has a resistivity of $6.00 \times 10^{-7}\,\Omega\cdot\text{m}.$

5.86\text{ m}

11.72\text{ m}

1.17\text{ m}

0.59\text{ m}

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Consider a certain length of uniform heating wire which has a resistance of $R=72\,\Omega.$ At what rate is energy dissipated when (a) a potential difference of $360\text{ V}$ is applied across the full length of the wire, and (b) the wire is cut in half and the same potential difference as in (a) is applied across the length of each half?

\text{(a) } 1800\text{ W}, \text{ (b) } 3600\text{ W}

\text{(a) } 1800\text{ W}, \text{ (b) } 1800\text{ W}

\text{(a) } 3600\text{ W}, \text{ (b) } 7200\text{ W}

\text{(a) } 1800\text{ W}, \text{ (b) } 7200\text{ W}

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by Brilliant Staff