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Net field at the common centre of two loops in perpendicular planes

This type of question, asked 3 times: 6 Apr 2023, 30 Jan 2024, 31 Jan 2024. All 3 questions below, oldest first.

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  1. Question 1

    6 Apr 2023

    24
    Two identical circular wires of radius 20 cm20\text{ }cm and carrying current 2 A\sqrt{2}\text{ }A are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wire is ___×10−8\_\_\_ \times10^{- 8}T. (Take π=3.14)\pi = 3.14)

  2. Question 2

    30 Jan 2024

    9
    Two insulated circular loop AA and BB radius ' aa ' carrying a current of ' II ' in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be:

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  3. Question 3

    31 Jan 2024

    116
    Two circular coils PP and QQ of 100 turns each have same radius of πcm\pi cm. The currents in PP and QQ are 1 A1\text{ }A and 2 A2\text{ }A respectively. PP and QQ are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is xmT\sqrt{x}mT, where x=x = _______ .[Use μ0=4π×10−7TmA−1\mu_{0}= 4\pi\times10^{- 7}TmA^{- 1} ]