snell's answer to xy's Secondary 4 A Maths Singapore question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
hope this helps.
if u hv any doubts, pls ask,
:)
if u hv any doubts, pls ask,
:)
Date Posted:
5 years ago
Does length not affect resistance?
Sorry, but I don’t understand how to get the red colour values :”)
not to worry, this is my style of teaching.
this is the 1st time u see this shortcut,
u not used to it. no worries :)
let's take a look at option A first:
r , A and R are the originals.
if radius is 0.5r, the new area would be 0.25A.
u wrote in the qn paper:
up r, down R right?
but u shld add:
up r, up A , down R
so conversely,
down r , down A, up R
since the new area is reduced by 4 times, the new resistance due to the reduced area is increases by 4 times.
hence, u see the 4R in red.
next, length:
u wrote in the qn paper:
up L, up R right?
so
down L, down R
for option A,
the new length is 0.5L, i,e. halved,
so the resistance is also halved.
hence, u the 0.5R in red
combine the 2 effects of area and length, u get the 2R in blue.
k? :)
this is the 1st time u see this shortcut,
u not used to it. no worries :)
let's take a look at option A first:
r , A and R are the originals.
if radius is 0.5r, the new area would be 0.25A.
u wrote in the qn paper:
up r, down R right?
but u shld add:
up r, up A , down R
so conversely,
down r , down A, up R
since the new area is reduced by 4 times, the new resistance due to the reduced area is increases by 4 times.
hence, u see the 4R in red.
next, length:
u wrote in the qn paper:
up L, up R right?
so
down L, down R
for option A,
the new length is 0.5L, i,e. halved,
so the resistance is also halved.
hence, u the 0.5R in red
combine the 2 effects of area and length, u get the 2R in blue.
k? :)
Oh ok! I think I got it. If I still have doubts, can I ask again?
give me some time, i do another write-up. :)
Ok! Thank u!