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Page 1 MAGNETIC EFFECT OF CURRENT - I 1. Magnetic Effect of Current – Oersted’s Experiment 2. Ampere’s Swimming Rule 3. Maxwell’s Cork Screw Rule 4. Right Hand Thumb Rule 5. Biot – Savart’s Law 6. Magnetic Field due to Infinitely Long Straight Current – carrying Conductor 7. Magnetic Field due to a Circular Loop carrying current 8. Magnetic Field due to a Solenoid Page 2 MAGNETIC EFFECT OF CURRENT - I 1. Magnetic Effect of Current – Oersted’s Experiment 2. Ampere’s Swimming Rule 3. Maxwell’s Cork Screw Rule 4. Right Hand Thumb Rule 5. Biot – Savart’s Law 6. Magnetic Field due to Infinitely Long Straight Current – carrying Conductor 7. Magnetic Field due to a Circular Loop carrying current 8. Magnetic Field due to a Solenoid N Magnetic Effect of Current: An electric current (i.e. flow of electric charge) produces magnetic effect in the space around the conductor called strength of Magnetic field or simply Magnetic field. Oersted’s Experiment: When current was allowed to flow through a wire placed parallel to the axis of a magnetic needle kept directly below the wire, the needle was found to deflect from its normal position. E K I N E When current was reversed through the wire, the needle was found to deflect in the opposite direction to the earlier case. K I Page 3 MAGNETIC EFFECT OF CURRENT - I 1. Magnetic Effect of Current – Oersted’s Experiment 2. Ampere’s Swimming Rule 3. Maxwell’s Cork Screw Rule 4. Right Hand Thumb Rule 5. Biot – Savart’s Law 6. Magnetic Field due to Infinitely Long Straight Current – carrying Conductor 7. Magnetic Field due to a Circular Loop carrying current 8. Magnetic Field due to a Solenoid N Magnetic Effect of Current: An electric current (i.e. flow of electric charge) produces magnetic effect in the space around the conductor called strength of Magnetic field or simply Magnetic field. Oersted’s Experiment: When current was allowed to flow through a wire placed parallel to the axis of a magnetic needle kept directly below the wire, the needle was found to deflect from its normal position. E K I N E When current was reversed through the wire, the needle was found to deflect in the opposite direction to the earlier case. K I B B Rules to determine the direction of magnetic field: Ampere’s Swimming Rule or SNOW Rule: Imagining a man who swims in the direction of current from south to north facing a magnetic needle kept under him such that current enters his feet then the North pole of the needle will deflect towards his left hand, i.e. towards West. Maxwell’s Cork Screw Rule or Right Hand Screw Rule: If the forward motion of an imaginary right handed screw is in the direction of the current through a linear conductor, then the direction of rotation of the screw gives the direction of the magnetic lines of force around the conductor. S I I I Page 4 MAGNETIC EFFECT OF CURRENT - I 1. Magnetic Effect of Current – Oersted’s Experiment 2. Ampere’s Swimming Rule 3. Maxwell’s Cork Screw Rule 4. Right Hand Thumb Rule 5. Biot – Savart’s Law 6. Magnetic Field due to Infinitely Long Straight Current – carrying Conductor 7. Magnetic Field due to a Circular Loop carrying current 8. Magnetic Field due to a Solenoid N Magnetic Effect of Current: An electric current (i.e. flow of electric charge) produces magnetic effect in the space around the conductor called strength of Magnetic field or simply Magnetic field. Oersted’s Experiment: When current was allowed to flow through a wire placed parallel to the axis of a magnetic needle kept directly below the wire, the needle was found to deflect from its normal position. E K I N E When current was reversed through the wire, the needle was found to deflect in the opposite direction to the earlier case. K I B B Rules to determine the direction of magnetic field: Ampere’s Swimming Rule or SNOW Rule: Imagining a man who swims in the direction of current from south to north facing a magnetic needle kept under him such that current enters his feet then the North pole of the needle will deflect towards his left hand, i.e. towards West. Maxwell’s Cork Screw Rule or Right Hand Screw Rule: If the forward motion of an imaginary right handed screw is in the direction of the current through a linear conductor, then the direction of rotation of the screw gives the direction of the magnetic lines of force around the conductor. S I I I x Right Hand Thumb Rule or Curl Rule: If a current carrying conductor is imagined to be held in the right hand such that the thumb points in the direction of the current, then the tips of the fingers encircling the conductor will give the direction of the magnetic lines of force. I Biot – Savart’s Law: The strength of magnetic field dB due to a small current element dl carrying a current I at a point P distant r from the element is directly proportional to I, dl, sin ? and inversely proportional to the square of the distance (r 2 ) where ? is the angle between dl and r. ? P dl r i) dB a I ii) dB a dl iii) dB a sin ? iv) dB a 1 / r 2 dB a I dl sin ? r 2 dB = µ 0 I dl sin ? 4p r 2 P’ B I Page 5 MAGNETIC EFFECT OF CURRENT - I 1. Magnetic Effect of Current – Oersted’s Experiment 2. Ampere’s Swimming Rule 3. Maxwell’s Cork Screw Rule 4. Right Hand Thumb Rule 5. Biot – Savart’s Law 6. Magnetic Field due to Infinitely Long Straight Current – carrying Conductor 7. Magnetic Field due to a Circular Loop carrying current 8. Magnetic Field due to a Solenoid N Magnetic Effect of Current: An electric current (i.e. flow of electric charge) produces magnetic effect in the space around the conductor called strength of Magnetic field or simply Magnetic field. Oersted’s Experiment: When current was allowed to flow through a wire placed parallel to the axis of a magnetic needle kept directly below the wire, the needle was found to deflect from its normal position. E K I N E When current was reversed through the wire, the needle was found to deflect in the opposite direction to the earlier case. K I B B Rules to determine the direction of magnetic field: Ampere’s Swimming Rule or SNOW Rule: Imagining a man who swims in the direction of current from south to north facing a magnetic needle kept under him such that current enters his feet then the North pole of the needle will deflect towards his left hand, i.e. towards West. Maxwell’s Cork Screw Rule or Right Hand Screw Rule: If the forward motion of an imaginary right handed screw is in the direction of the current through a linear conductor, then the direction of rotation of the screw gives the direction of the magnetic lines of force around the conductor. S I I I x Right Hand Thumb Rule or Curl Rule: If a current carrying conductor is imagined to be held in the right hand such that the thumb points in the direction of the current, then the tips of the fingers encircling the conductor will give the direction of the magnetic lines of force. I Biot – Savart’s Law: The strength of magnetic field dB due to a small current element dl carrying a current I at a point P distant r from the element is directly proportional to I, dl, sin ? and inversely proportional to the square of the distance (r 2 ) where ? is the angle between dl and r. ? P dl r i) dB a I ii) dB a dl iii) dB a sin ? iv) dB a 1 / r 2 dB a I dl sin ? r 2 dB = µ 0 I dl sin ? 4p r 2 P’ B I Biot – Savart’s Law in vector form: dB = µ 0 I dl x r 4p r 2 dB = µ 0 I dl x r 4p r 3 Value of µ 0 = 4p x 10 -7 Tm A -1 or Wb m -1 A -1 Direction of dB is same as that of direction of dl x r which can be determined by Right Hand Screw Rule. It is emerging at P’ and entering at P into the plane of the diagram. Current element is a vector quantity whose magnitude is the vector product of current and length of small element having the direction of the flow of current. ( I dl) xRead More
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