Electronics / Knowledge quiz

Ohm's law quiz: how do voltage, current and resistance relate?

Ohm's law states that voltage equals current multiplied by resistance for an ohmic component under steady conditions. The quiz covers how voltage, current and resistance relate, resistivity versus resistance, electrical power, resistor tolerance bands, and why power grows with current squared times resistance. Try the ten questions to check your understanding.

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Question 1

What is the unit of resistance?

Resistance is measured in ohms.

Source excerpt
The standard unit for measuring this opposition is the Ohm, represented by the Greek letter Omega ($\Omega$).

From the Knowverse course text.

Question 2

How does resistivity differ from resistance?

A particular component's resistance also depends on its dimensions.

Source excerpt
While resistance is the total fight in a specific object, resistivity is the property of the material itself.

From the Knowverse course text.

Question 3

Which relation expresses Ohm's law for an ohmic resistor?

Voltage equals current times resistance.

Source excerpt
This formula tells us that Voltage is the result of multiplying the Current by the Resistance.

From the Knowverse course text.

Question 4

At fixed resistance, what does doubling voltage do to current?

I = V/R, so current doubles when voltage doubles at fixed resistance.

Source excerpt
To find the Current (I) instead, we rearrange the formula to divide Voltage by Resistance.

From the Knowverse course text.

Question 5

At fixed voltage, what does doubling resistance do to current?

Current is inversely proportional to resistance at fixed voltage.

Source excerpt
This is an inversely proportional relationship: as Resistance goes up, the Current goes down by the same factor.

From the Knowverse course text.

Question 6

What does electrical power measure?

Power is energy transferred per unit time.

Source excerpt
To wrap up, Electrical Power is the speed of energy use, measured in Watts.

From the Knowverse course text.

Question 7

Which unit measures electrical power?

Power is measured in watts.

Source excerpt
To wrap up, Electrical Power is the speed of energy use, measured in Watts.

From the Knowverse course text.

Question 8

In a simple DC circuit, which formula gives power?

Multiplying voltage by current gives power.

Source excerpt
They are actually the same relationship, just expressed differently. $P=VI$ is the general formula for any component. $P=I^2R$ is specifically useful for components with resistance (like wires or heaters) when you don't want to measure the voltage separately.

From the Knowverse course text.

Question 9

What does a resistor's tolerance describe?

Tolerance expresses allowed variation from the nominal value.

Source excerpt
This is why every resistor has a tolerance rating, which is the percentage of error allowed between its marked value and its actual measured value.

From the Knowverse course text.

Question 10

In a four-band resistor code, what does the third band specify?

The first two bands provide digits and the third scales their value.

Source excerpt
The third band is the Multiplier. It tells us how many zeros to add to our base number.

From the Knowverse course text.

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Voltage, current and resistance

Resistance describes opposition to electric current and is measured in ohms. Resistivity is a material property, while the resistance of a particular wire also depends on its dimensions. A longer wire has more resistance than a shorter wire of the same material and cross section. Thickness and temperature can matter too.

For an ohmic component under steady conditions, voltage equals current multiplied by resistance: V = IR. Keeping resistance fixed, increasing voltage increases current. Keeping voltage fixed, increasing resistance reduces current. This relationship helps calculate unknown quantities, but components that heat substantially or behave nonlinearly need a more careful model.

Source excerpt
This formula tells us that Voltage is the result of multiplying the Current by the Resistance.

From the Knowverse course text.

The Resistor Component — image from Wikimedia Commons
Metal film resistor · Haragayato, cropd by hidro. · CC BY-SA 3.0

Power and component values

Electrical power is the rate of energy transfer, measured in watts. In a simple DC circuit, power equals voltage multiplied by current. For a resistor obeying Ohm's law, this also gives P = I²R. The energy transferred depends on how long that power is supplied, so watts and watt-hours describe different quantities.

A fixed resistor has a nominal resistance and a tolerance describing permitted variation. A potentiometer provides an adjustable contact on a resistive track. On a four-band resistor, two bands give digits, a third gives the multiplier and the final band gives tolerance. Reading the band roles together identifies the marked value.

Source excerpt
The fourth and final band is usually spaced slightly further apart. This is the Tolerance band.

From the Knowverse course text.

Sources

Sources: Resistance and Circuit Laws. Each question or step includes an excerpt from the course.