A clamp probe for use with a non-contact electrical parameter measurement device to measure an electrical parameter in an insulated conductor under test, the clamp probe comprising: a clamp portion comprising first and second clamp arms that comprise respective proximal and distal ends, the first and second clamp arms movable relative to each other between a closed position wherein the distal ends of the first and second clamp arms are substantially adjacent each other and a clamp cavity sized and dimensioned to receive an insulated conductor is formed between the first and second clamp arms, and an open position wherein the distal ends of the first and second clamp arms are spaced apart from each other to permit the insulated conductor to pass between the first and second distal ends into the clamp cavity; a bias element coupled to the clamp portion that biases the first and second clamp arms toward the closed position; a grip portion operative to be actuated by a user to cause the clamp portion to move from the closed position into the open position against the bias applied by the bias element; a flexible strap comprising a first strap end and a second strap end, the first strap end coupled to the distal end of the first clamp arm and the second strap end coupled to the distal end of the second clamp arm, at least a portion of the flexible strap being elastically deformable around the insulated conductor positioned within the clamp cavity to exert a force against the insulated conductor in a direction toward the distal ends of the first and second clamp arms; and at least one non-contact sensor coupled to the flexible strap between the first strap end and the second strap end of the flexible strap, the at least one non-contact sensor positioned proximate the insulated conductor when the insulated conductor is within the clamp cavity. a clamp portion comprising first and second clamp arms that comprise respective proximal and distal ends, the first and second clamp arms movable relative to each other between a closed position wherein the distal ends of the first and second clamp arms are substantially adjacent each other and a clamp cavity sized and dimensioned to receive an insulated conductor is formed between the first and second clamp arms, and an open position wherein the distal ends of the first and second clamp arms are spaced apart from each other to permit the insulated conductor to pass between the first and second distal ends into the clamp cavity; a bias element coupled to the clamp portion that biases the first and second clamp arms toward the closed position; a grip portion operative to be actuated by a user to cause the clamp portion to move from the closed position into the open position against the bias applied by the bias element; a flexible strap comprising a first strap end and a second strap end, the first strap end coupled to the distal end of the first clamp arm and the second strap end coupled to the distal end of the second clamp arm, at least a portion of the flexible strap being elastically deformable around the insulated conductor positioned within the clamp cavity to exert a force against the insulated conductor in a direction toward the distal ends of the first and second clamp arms; and at least one non-contact sensor coupled to the flexible strap between the first strap end and the second strap end of the flexible strap, the at least one non-contact sensor positioned proximate the insulated conductor when the insulated conductor is within the clamp cavity.