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Full Answers to Review Questions - Hodder Plus Home

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<strong>Full</strong> <strong>Answers</strong> <strong>to</strong> <strong>Review</strong> <strong>Questions</strong>: 13 Current–potential difference relationships<br />

A similar argument in terms of current can be made. As the<br />

resistance of the lamp is about the same as that of the resis<strong>to</strong>r, the<br />

circuit resistance is approximately doubled when they are connected<br />

in series. This means the current in the lamp is only about half the<br />

normal operating current and so the lamp will only glow dimly.<br />

ii) The latter argument is better for considering the power, which<br />

is given by I 2 R. In series, each will take the same current. As the<br />

resistance of the lamp at a potential difference of less than 12 V is<br />

less than that of the resis<strong>to</strong>r (which remains at 32 Ω), the power<br />

developed in the resis<strong>to</strong>r is greater than that in the lamp.<br />

3 a) i) Ohm’s law states that for a metallic conduc<strong>to</strong>r at a constant temperature<br />

the current in the conduc<strong>to</strong>r is proportional <strong>to</strong> the potential<br />

difference across the conduc<strong>to</strong>r.<br />

ii) The resistance of any conduc<strong>to</strong>r is defined as the potential difference<br />

across the conduc<strong>to</strong>r divided by the current in the conduc<strong>to</strong>r.<br />

b) I = V<br />

__<br />

c)<br />

d)<br />

I/A<br />

0.200<br />

0.177<br />

0.100<br />

12 V<br />

R =<br />

______ 2.0 V<br />

= 0.177 A = 177 mA<br />

11.3 Ω<br />

0 1.0 2.0 V/V � Figure A.3<br />

Figure A.4 �<br />

nichrome<br />

ribbon<br />

current<br />

sensor<br />

A<br />

voltage<br />

sensor<br />

V<br />

data<br />

logger<br />

computer<br />

The current sensor and voltage sensor are connected <strong>to</strong> the data logger<br />

(analogue <strong>to</strong> digital converter), the output of which is fed in<strong>to</strong> a<br />

computer. The potential divider is used <strong>to</strong> vary the potential difference<br />

from zero <strong>to</strong> 2.0 V (note that a series variable resis<strong>to</strong>r cannot do this –<br />

see page 133) and the current and potential difference are recorded at<br />

set intervals. This data is s<strong>to</strong>red in the data logger and can then be used<br />

<strong>to</strong> plot a graph via the computer.<br />

The main advantage of using a data logger is that a large amount of data<br />

can be collected and processed in a relatively short time, thus giving<br />

better average values.<br />

The only real disadvantage is the complexity of the set-up compared<br />

with just using digital meters.<br />

Tip<br />

The conditions in italics must be<br />

included in order <strong>to</strong> give a complete<br />

definition and get full marks.<br />

Tip<br />

If you state the formula R = V __ , you<br />

I<br />

must define each term in the formula.<br />

Edexcel Physics for AS © <strong>Hodder</strong> Education 2009<br />

16

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