potential due to dipole

a charge q is moved from a to b in the region of a fixed dipole p. find the work done on the charge (assume gravity free space)
36 Replies
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@Gyro Gearloose
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Sephrina
SephrinaOP4mo ago
i am posting the diag in a min
Opt
Opt4mo ago
V = Kpr/r³ Given that dipole is at origin
Sephrina
SephrinaOP4mo ago
thts wht i thought at first but the given ans is diff
Opt
Opt4mo ago
Ok, give the diagram
Sephrina
SephrinaOP4mo ago
Shared from Whiteboard
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Sephrina
SephrinaOP4mo ago
the ans given in book is pqcos/2(pi)(epslon nod) r^2
Opt
Opt4mo ago
What's q? Also, there isn't sufficient information In the diagram
Sephrina
SephrinaOP4mo ago
q is the charge moved from a to b aakash modules 🤡
Opt
Opt4mo ago
Send the original question na
Sephrina
SephrinaOP4mo ago
this is the question this same diagram and the sentence i typed out i dont have a phone rn to click picture this
Opt
Opt4mo ago
Ok, so, I'll assume that both points are a distance r, and by that logic, the angle on the other side is also theta
Sephrina
SephrinaOP4mo ago
hn vo to tha mai banana bhul gyi 😅
Sephrina
SephrinaOP4mo ago
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Sephrina
SephrinaOP4mo ago
,rotate
TeXit
TeXit4mo ago
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Sephrina
SephrinaOP4mo ago
the given ans
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Opt
Opt4mo ago
V(Q) = $Kp\hat{x}\cdot(r)(-cos\theta\hat{x}+sin\theta\hat{y})/r^{3}$ V(Q) = $-Kpcos(\theta)/r^{2}$ V(R) = $Kpcos(\theta)/r^{2}$ Yeah this is correct.
Sephrina
SephrinaOP4mo ago
my question is how merko ye smaj nhi ara ki kaha se ara hai ye the pi - theta and all
Opt
Opt4mo ago
Angle is taken with respect to positive direction of x axis So clockwise it's theta. Anticlockwise it's π-theta
Sephrina
SephrinaOP4mo ago
okk but
Opt
Opt4mo ago
Yeah
Sephrina
SephrinaOP4mo ago
this says it is r cube but the ans key says r square
Opt
Opt4mo ago
Mb R cancels up and down First eqn is right I forgot to cancel in second and third
TeXit
TeXit4mo ago
Opt
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Sephrina
SephrinaOP4mo ago
and ur one is kpcos but here it if u convert it gives 2k right? or am i doing another blunder?
Opt
Opt4mo ago
? What? Convert what?
Sephrina
SephrinaOP4mo ago
this is in expanded form of k right? so when we turn it back to k
Opt
Opt4mo ago
Yeah It's going to be 2K, because you're doing V(R)-V(Q)
Sephrina
SephrinaOP4mo ago
mujhe kuch bhi smaj nhi ara i think i will try this once mre phir bhi nhi aaya to dekhte puchti aapse
Opt
Opt4mo ago
Ok I'll head to sleep, it's laye *late
Sephrina
SephrinaOP4mo ago
yh sure night
Opt
Opt4mo ago
@Sephrina got it?
Sephrina
SephrinaOP4mo ago
nopee i left it for a while will revisit +solved @Opt
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