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Question: At a certain place, the horizontal component \(V _ { 0 }\) of the earth's magnetic field are equal i...

At a certain place, the horizontal component V0V _ { 0 } of the earth's magnetic field are equal in magnitude. The total intensity at the place will be

A

B0B _ { 0 }

B

B02B _ { 0 } ^ { 2 }

C

2B02 B _ { 0 }

D

2B0\sqrt { 2 } B _ { 0 }

Answer

2B0\sqrt { 2 } B _ { 0 }

Explanation

Solution

B0=V0B _ { 0 } = V _ { 0 }Also total intensity

B=B02+V02B = \sqrt { B _ { 0 } ^ { 2 } + V _ { 0 } ^ { 2 } } ⇒B=2B0\Rightarrow B = \sqrt { 2 } B _ { 0 }